Hey everybody, let's get clear about off-centre spindle holes. Do you have speed instability on EVERY record? if so, it can't be off-centre records - they can't all be off-centre. Anyway, you can see an off-centre record when it's in play - the arm swings a little left and right.
So if you have the problem on all or most records; some you will hear more than others - eg piano, as above - then it's your turntable. Posts above rightly say change the belt, check the motor. Also take off the platter, flush out the bearing pit , clean the spindle and add new correct oil per maker's instructions.
It's nothing to do with cartridge set-up - if that's wrong, you will hear other faults.