The new logitech gamepads are almost identical to the PS2 dualshock controllers, so the difference is minimal. I didn't have any problems with Psychonauts on the PC.
I will never use that gamepad again. They have a known issue where the left analog stick goes out of calibration. The only way to solve it is to replug it in, only for it to happen 20 mins later. I used to use that for Madden/NBA Live and many other people have had the same issues. Even logitech acknoledges it.