Yes. I won't delve into the electrical theory on single vs. three phase motors here.

Single phase motors, under load, can produce a pattern on the finish. Three phase motors, run on real three phase power (whether from a rotary, solid-state, VFD converter or a real three-phase power source) produce smoother finishes. If you're using a static phase converter, you might see a pattern on the finish if you load down the motor to the maximum ability produced by a static phase converter (66% of full power).

I think a three phase motor with a modern VFD is the way to go anymore. My shop doesn't have 3 phase power - only 230 1 phase. The VFD's in my machines can accept either three phase or one phase input power - the result is the same: 3 phase power of variable frequency to allow me to control the speed of the motor.