Presumably a Typhoon pilot shot down while supporting ground forces during Market Garden, say, would be more likely to successfully get back to his own lines than a Halifax crew shot down over Berlin in 1943.
Good question; I fear I don't have the data in a suitable format for a fully comprehensive answer, but in broad handfuls most downed RAF pilots would be from Bomber Command. According to The Bomber Command War Diaries, of the ~125,000 Bomber Command aircrew:
It also records that, in Western Europe, 156 RAF men escaped from German prison camps and 1,975 evaded capture after having been shot down. Those figures aren't broken down by command, but "it is probable that more than half the escapers and evaders were Bomber Command men", which seems a reasonable assumption as John Terraine puts total RAF killed and missing at 70,253 so Bomber Command bore the brunt of losses. On that basis, somewhere around 90% of shot-down survivors were captured. Those statistics aren't broken down by location of crash, but it seems evident that (as you say) aircrew brought down over Germany would be the least likely to escape, facing a hostile populace (to the point of lynching in a small number of cases towards the end of the war) with far less prospect of reaching an [Escape Line] (http://www.ww2escapelines.co.uk/).
The case of a Typhoon pilot during Market-Garden is interesting, as one set of fantastically comprehensive information is the three volumes of Christopher Shores' 2nd Tactical Air Force which has daily sets of claims and losses, with notes as to whether crew were killed, wounded, taken prisoner or "escaped/evaded and safe". In the absence of the data in an electronic format (oh for a pivot table!) I took a very quick count of prisoners vs evaders for a few periods:
Start of operations (June 1943) to end August 1943: 18 PoW, 15 evaded.
February 1944: 8 PoW, 5 evaded
July 1944: 17 PoW, 18 evaded
Market-Garden(ish) (17th - 30th September 1944): 12 PoW, 5 evaded.
January/February 1945: 59 PoW, 13 evaded.
So more likely to evade capture than heavy bomber crews and, curiously, less likely to evade capture later in the war, though that may be a statistical anomaly; unfortunately I haven't got time to fully tabulate the fates of everyone listed, and Shores seldom has the space to further detail how crew may have escaped and returned. One case he does mention is frankly worthy of a film (complete with appropriately named protagonist): Sergeant Bob Merlin of 175 Squadron was shot down by flak on 16th August 1943; on 14th September 1944 "...at Vitry a mysterious bearded figure turned up at 175 Squadron's dispersal, driving a Kubelwagen, accompanied by an Alsation dog and sporting a German machine pistol. It was Sgt Bob Merlin who had gone missing over a year previously. His adventures include a spell in Swiss internment and a period spying on 'Noball' sites under construction, but he would return to operations with the Squadron in the autumn, following a thorough debriefing!"
I'm afraid I don't have any comparable USAAF information (or Bill Chorley's nine volume set of Bomber Command losses), it would certainly make for an interesting project if the data could be assembled in an accessible format.