Angled pointy tips will give varying width of cut.
I make single flute (down to 0.3mm) by grinding broken PCB carbide drill off square, then hitting it with a single angled grind that gives cone angle end clearance. Ground with fine CBN wheel.
With the square end, variations in depth won't be notice unless really bad.
I have a ring shaped brush (of a water powered car washer junk gadget) that presses the work down and hold much better than 0.02mm in Z now the job is pushed down.
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.