I actually taped down the Modulation wheel on my PSR-2000 since I never used it, and it was annoying to hear modulation whenever I would move the wheel by accident.
I'm sure I'm not the first to notice this, but Yamaha changed the mod wheel functionality on the PSR-3000; I do not tape it down on my PSR-3000. The difference is that on the PSR-3000, the mod wheel has no effect on sound until it is moved from where it was at power-on. Try it and see for yourself.