Indigo> Tekken, high-precision ? I'm laughing so hard right now...
Anyway the stick being too imprecise ? Now seriously I always hated the PS controller for its cross, hard, unresponsive, imprecise, while on the Dreamcast I had no problem at all...
Why, to play a 2D fighting game on my PS2 I decided to resort almost exclusively to my SF 15th Anniversary control pads (except for games like DBZ Budokai, DBZ Sparking! and Kenichi).
I seriously bless video game developers for taking analog sticks into account when esigning fighting game controls, and if you can't play VF5 on a 360 controller then something must be wrong, because it's seriously easy to handle, contrary to the classic Xbox pads (not the S-pads) which were mainly a catastrophe for this purpose (otherwise I liked them a lot)...