1. Needs to be PERFECTLY square.
2. Try to do the finish path with NO Z movements as even repeating to microns will still leave visible marks.
Using feed patterns for constant surface speed will help,
If the cutter rubs in one place longer than another, it will end up slight lower and very visible.
Reflected light will show up even microns of irregularity.
Lots of flood coolant so the chips are not recycled, or a strong airblast.
As the cutter wears, the vertical load on the spindle will change also.
If the spindle is not up to temperature, you might see an extra 10-20 microns or more from cold to hot.
And there is no mention hear of vibration and many other factors.
Use super sharp tools for the finish pass.
Super X3. 3600rpm. Sheridan 6"x24" Lathe + more. Three ways to fix things: The right way, the other way, and maybe your way, which is possibly a faster wrong way.