I am aware of the technical achievements of the design, but I am wondering about the application.
There was a real discrepancy between the Me-262's reputation and the actual results it achieved in German service. The sorties of 262 units often showed that it could not translate the technical advantages of the turbojet into masses of Allied aircraft shot down. Some sorties actually had either equal losses for both sides or a disadvantageous kill ratio for the Luftwaffe. Some of these operational problems were directly related to the situation of the air war in late 1944 and 1945; the masses of Allied aircraft in the air would have made any German interception difficult no matter what the technical advantages of the aircraft. However, some of the 262's operational shortcomings were directly related to the plane itself. The Me-262 not only had a number of technical issues that denuded its operational effectiveness, the Luftwaffe's pilots never really figured out how to use the aircraft properly.
Some of these technical problems were not limited to the Me-262, but the turobojet's revolutionary nature made them worse. Such was the case with most of the Me-262's gunsights. A good number of the early models were equipped with the Revi 16B gunsight. This reflector sight was a decent gunsight for the early and middle war, but was getting a tad long in the tooth by the latter part of the war. The Revi 16B required the pilot to estimate the angles of deflection and other mental work to hit the target. This was a difficult thing to do in a piston-engined aircraft like an FW-190, but the speed of the 262 made it a more difficult proposition. Sights like the Revi 16B worked better at close ranges, but the high speeds of the turbojet (and later war piston aircraft too) provided an all too brief firing window. The Luftwaffe did develop a more advanced gunsight, the EZ 42, which was gyroscopically stabilized, but it never received full production in a pattern all too typical of German procurement practices. The Luftwaffe initially cancelled the EZ 42 as too technically complex for mass production, but Goering reversed the order in early 1945. A few 262s received the EZ 42, but most had to go to war with the older Revi sights. Nor were all the bugs with the EZ 42 ironed out either. EZ 42 sights often malfunctioned and the novelty of the sight also meant 262 pilots also had learn how to use it under combat conditions. The endemic fuel shortages meant German aircraft had little opportunities for training or orientation flights.
The 262's gunsight woes would have been better had the plane had an armament more suited to its performance envelope. The 262's four MK108 30mm cannon were certainly impressive and destructive weapons. German estimates held that it only took one to two hits from a MK 108 to down a fighter and three to five for a four-engined bomber, and ground tests on airframes, such as this one show the power of the weapon. But the MK 108 had significant operational penalties. The weapon was prone to jamming as the autocannon's ammunition feed was prone to interruption as the aircraft jinked back and forth. The autocannon's muzzle velocity was often quite poor as was its rate of fire. This made deflection shooting more difficult and the heavy projectiles often could not quite reach the aimed target as gravity and physics took over. The Luftwaffe did try to rectify this situation with variants of the 262 with lighter armament. But the 262 was not immune to the Luftwaffe's habits of trying to find panacea solutions to aircraft armament. The Luftwaffe fitted the MK 214 50 mm cannon to one aircraft, which took all the vices of the MK 108 and magnified them. The only novel tinkering with the 262s armament was the installation of R4M rockets on modified curtain rods under the wings. Interestingly, JV 44's use of the R4M did not use the turbojets' gunsights to aim the weapon, but the MK 1 "eyeball" and the canopy framing to gauge the right shooting distance to hit an Allied bomber. Such methods were viable for experienced pilots like JV 44's, but also show how immature much of the leading edge technology the Germans tried to deploy in 1945.
Yet not all of the 262's problems were purely technical in nature. The decline in training, the extensive use of ersatz materials, and the fuel shortages meant that 262 pilots operated at a distinct disadvantage. The piston-engined Jagdflieger were used to being able to throw around their crates with abandon, but the 262 was a different beast. The first generations of turbojets were extremely vulnerable to flame outs with the disruption of airflow and poor quality of the Jumo 004 turbojet magnified this problem. A 262 pilot that handled his throttles too roughly could find himself losing one or two engines. Although Galland and other postwar Jagdflieger critiqued the Luftwaffe's initial decision to feed bomber pilots into the 262 units, the needs to manage the engine did impart a certain logic to this decision. The 262's poor tires and brakes also made landings quite difficult, especially since the 262 had a very long take off and landing circuit.
The fuel limitations of the late-war Luftwaffe also meant that the 262 units were never able to develop effective tactics to capitalize on the aircraft's advantages. JG 7 discovered that while the 262 could penetrate the bombers' escort screens they could make only one rear pass on the bombers before they faced the escorts. The large turning circle of the 262, created by its speed did not allow it to make repeated circling attacks. Fuel restrictions meant that the 262s could only make smaller pinprick attacks on the masses of Allied formations instead of mass attacks. This actually allowed the Allies to formulate counter-jet tactics to attack the 262s when they were most vulnerable such as at takeoff. The 262 threat did create alarm in Allied circles, but the small size of the threat made it able to be quarantined.
This is not to say the Me-262 was not a revolutionary aircraft. Experienced pilots ranging from Galland, Walter Krupinski, and Eric Brown all recognized the potential of the turbojet when they flew examples of Messerschmitt's machine. Yet bringing a such revolutionary aircraft to operational effectiveness was easier said than done. Rushing the plane to development, and contrary to Galland's memoirs, the decision to turn the 262 into a bomber did not delay the combat introduction of the aircraft, made these problems more apparent. Technical issues as well as tactics needed time to be ironed out; and time was one resource Germany emphatically did not have.
Sources
Boyne, Walter J. Messerschmitt Me 262: Arrow to the Future. Atglen, PA: Schiffer Pub, 1994.
Caldwell, Donald L., and Richard Muller. The Luftwaffe Over Germany: Defense of the Reich. Barnsley, South Yorkshire : Frontline Books, 2014.
Forsyth, Robert. Jagdgeschwader 7 'Nowotny'. Oxford: Osprey Pub, 2008.
The last three chapters of 'The First and the Last' from Adolf Galland biography (head of the Luftwaffe fighter command) talk about this.
Basically the development of the ME-262 was delayed for a long time with the obsession by Hitler that it should be his wished for Blitzbomber. To be used to repel the allied invasion in the west. Result of this was that the ME-262 was initially assigned in 1944 to bomber command of the Luftwaffe. They actually dropped bombs in that period but nobody ever could tell about the results of that. These bomber pilots also used it as a fighter from time to time but were not trained in it. In the meantime on instigation of among others Hitler, the Volkssturmjager (the HE 162) was introduced which took away a lot of production capacity. The HE 162 itself was completely ineffective.
With the introduction of the Arado AR 234B in October 1944 a real jet bomber was available. Only then was Galland allowed to form the first ME 262 fighter squadrons.
In January 1945 Galland was allowed to form a specialist fighter squadron of his own, JV 44.
The basic tactic was to fly over and past the fighter escort using their speed advantage and attack bomber formations by strafing them since the main goal was shooting down bombers. Even as late as April 1945 new weaponry was added with 4 30-mm cannons and 24 unguided air to air missiles which were fired in salvo's at bomber formations. Losses among the allies in late 1944 and early 1945 where such that special attention was given to combat the ME 262. This by extra raids on aircraft factories and airfields and patrolling airfields with the aim to attack the jets while taking off and landing. This was effective enough to raise the losses in ME 262's that very rarely formations of more then 10 ME 262's engaged.
If not for the interference of Hitler the ME 262 might have been effectively introduced in 1943 in large numbers. The effect of that on the air war would have been significant.