i agree with counterpoint - that every piece needs it's own technique. seems that each composer has a different technical difficult he/she puts into a piece. and, also, 'method.' for instance debussy/chopin/ravel - they all have this 'use any finger you want as long as it works' (well, bach too) and there's a lot of speed issues with it.
beethoven - you can use several methods and it works fine - but with the faster pieces you have to adapt your relaxation techniques with your memory and neurological functions. i'm finally getting better at the opus 10 #4 - but it takes really thinking several steps ahead to make it come out right. you're always thinking 'what comes next' in fingering because there are no places to pause.
also, i think i found the secret to playing the connecting part in measure 5 (last beat). i was always playing lh 4, 3 there and i switched recently to 5, 4 - that way in measure 6 i don't have to switch the thumb from the E to the G# when going 600 mph. i can play - last beat 5, 4, then 3,2,3, 1 ... 4,2,3,1 etc i'm attempting this in a similar measure later in the piece, too.