While I could imagine a synchronous motor running slow, e.g. worn bearings or lack of lubricant, I can't come up with a theory to make one run faster than mains frequency dictates. Your motor is locked in at 1800rpm by design (Actually, if it's a 4-pole motor, it's locked in at 120*Freq/4). If you are running 4% fast, that would require mains freq. of 62.4 Hz, and while there are occasional deviations from the 60Hz standard that cause the utility to regulate, I don't believe any U.S utility would tolerate 62Hz as being 'normal'.
Neither can the capacitor make your motor run fast. And the 450V rating just says its sufficient to handle your 120V mains. I think your motor is fine, and the problem is in the drive mechanicals.
The early low-end Pioneer TTs (I have one, a PL-112D) did have a reputation for running a bit fast, whether by design flaw, or maybe even by design (for some unknown reason), now I'm repeating myself, but I think it's in the capstan/platter geometry.
Having said all that, 4%? That brings A440 to almost 458Hz fercryingoutloud. That's closer to A#. I feel your pain! And I can imagine Pioneer being loose, but that's just sloppy. It really is a puzzle.
It would be helpful to 1) Verify your mains frequency (you need a frequency counter anyway, right?) 2) Determine your motor speed (just a $300 strobe on the capstan, watch the attaching set screw, should sync at 30Hz for 1800rpm). Of course, the trick is to figure it out without throwing money around.
Or you could just build up the platter. But if you're like me, you want to know if your actually fixing it, or masking the problem with a band-aid.