I cant answer in general, but Swedish defeat at Kircholm was the result of inferior cavalry tactics and inept maneuvering.

First off, while hussars numbers where indeed around (but in fact quite a bit more) 1000 man strong (~600 right wing, 300 center, 500 left wing, 200 in reserve) they were not alone. In addition to hussars Commonwealth troops had around 1000 lighter cavalry, 1000 infantry and some artillery pieces. The Swedes likewise where not pure infantry, but had ~ 3000 cavalry most of them on both wings and some in reserve.

Swedes were deployed on high ground in dense infantry blocks arrayed in checkerboard pattern, cavalry on the flanks and few artillery pieces split in 2 batteries positioned on flanks of infantry formation. Between armies was a ravine and on opposite end Commonwealth formations stood in deep columns, in carefully closed up ranks to make their meagre numbers appear still smaller and thus induce the Swedes to attack. After some preliminary cavalry skirmishing Commonwealth skirmishers were ordered to retire and Swedes, appearently deciding that obviously weaker enemy is retreating started to advance, thus descending to cavalry friendly ravine. In process Swedish infantry blocks crowded each other, artillery was limbered up to move forward, while Swedish cavalry on the flanks outpaced infantry, so whole line was thrown in some disarray right before hussars charged.

The battle started with hussars of Commonwealth center charging against confused infantry of the Swedish center, which along with its artillery was on the move at the time and in their minds probably pursuing numerically inferior and retreating enemy. The charge was successful and pressed the disorganized blocks of first line onto the second line formations, so the infantry center got completely confused and pinned down by inferior numbers of hussars and light horse following them.

Meanwhile the cavalry of Swedish right flank still unimpressed by Commonwealth numbers in general and those of opposing wing in particular attempted to take the attacking Commonwealth center in flank. The attempt was executed in a lame trot characteristic for Western cavalry of the time, since it was before Gustavus Adolphus so Swedish cavalry moved slowly and preferred to engage in pistol shooting matches. While right flank was busy trotting to aid of their infantry comrades they in turn were attacked fast and hard by hussars of the right flank deployed from deceptively small columns and utterly smashed, thrown onto the right wing of already disorganized Swedish infantry and scattered.

The Swedish left due to dust raised oblivious to what was happening on the right and center advanced and attempted to outflank Commonwealth formations, but after some difficulties were beaten and cavalry of Commonwealth left flank was able to help finish off the Swedish infantry by now already taken in flank and rear by victorious hussars of the right wing.

As you can see there were many factors to Commonwealth victory and superiority of its cavalry was only one of them. One can see how attack against prepared and cautious Swedish infantry by hussars of Commonwealth center could have easily failed miserably.