Has anyone had trouble with speed on their tt

"corrects for drag instantly...."

Not possible. Instant velocity change to the correct velocity would be like a perpetual motion machine.

Fast correction = flutter.

Slower correction = wow.

Slow correction = drift.

All affect the music. Correction (servo circuits) are bad for this application. It's why no master tap machines used them, which is directly addressing the OP's stated problem, his DC turntable's speed problems. DC motors need servo circuits, and those are very compromised for this particular use, high end turntables.

Everyone thinks they have great speed stability in their turntables until they hear one that does, then they wonder why the stable one is so clear, so natural, so right.

Most turntables of "repute" are not withing very good limits. When you hear a real stable one you realize that. The OP and Syntax are not wrong.

And all DC tables, something that is coming back to be more popular, have servo circuits, and all of them hunt, easily audible when you finally hear something that does not drift and hunt, and easily measurable.

Modern economics in high end audio: give the absolute least you can, don't think of serviceability, get the sale at all cost.