if the speed changes with strict periodicity, then the problem is more of a mechanical origin..
Your argument is not considering that this is a Direct Drive turntable where the motor torque is very strong and thus the first suspect of speed variations is the motor (coil) force itself. In other words, the speed control system. Moreover if the bearing had friction (unless very obvious, noisy friction), a control system in good health would totally compensate for it. So again, i'm suspecting on the electronics in #1.
The speed control on the PS-X800 (and other sony TTs) depends on comparing the readings from a magnetic imprint on the platter by a magnetic head (usually 300Hz frequency) and comparing this with a reference oscillator (usually quartz crystal) using a sort-of phase locked loop (PLL), which then controls a DC voltage which directly controls turmtable speed. This is all mentioned on the link I gave above.
If this final DC voltage isn't steady then you will have speed changes with or without all kinds periodicity, again of a fully electronic cause, since this voltage directly sets the instantaneous speed.
This can be due to many things, for example for the PLL to work correctly there is a pulse adjustment that depends on a potentiometer. Wrong pulse adjustment, then the TT won't react to speed variations with the correct quickness. This is only one of the things that can go wrong.
Power supply unsteadiness/ripple/variation will directly impact (among MANY other things) the DC voltage input to the Hall elements and this will directly change driving coils' power (voltage amplitude) which if not properly compensated by the speed control circuit will also result on unsteady rotation of all sorts.
A faulty power transistor (and i don't just mean "transistors of the power supply", i mean all power transistors and more particularly the ones that drive the motor coils, 4 in total) will cause a lot of problems. These 4 transistors are directly connected to +V and -V power supply, so shorted or faulty transistors will directly break havoc with two of the supply rails and cause all, all sorts of trouble.
Really there are many, many electronic and electrical things that can go wrong compared to mechanical things. Not just "capacitors and potentiometers", this was just a partial list if you read my post above.
I do agree that cleaning and reoiling the bearing is so easy to do that it's a no-brainer to try this. But I am suspecting this won't solve the problems.