No one here has ever turned a new rotor or at least chocked it up on a lathe? I do it all the time with new rotors and more than a few need a cleanup.
If you've done it successfully on a lathe without a dedicated jig that doesn't ever get removed from the chuck I'd love to know how.
The key to a brake lathe is that it can do both sides without flipping the rotor around, ensuring the surfaces are dead nuts parallel while clamping against the WMS. Furthermore the conical mounting setup quickly and easily centers and holds just about any rotor so you don't spend 20 minutes jacking around with workholding.
I've thrown around various designs in my head, but it all starts with a jig I
would first face every time I've put it in the chuck so I know the WMS is dead nuts square to the travel of my cross slide. I suppose a fixture for a face plate might prevent this, so then I'm loading up my face plate which I never use.
Then, lacking the cones, the jig would likely be drilled and tapped for the bolt pattern of the rotor in question and I'd bolt it up. Studs are out because I have to face that entire surface.
This way I'd feel comfortable facing one side, unbolting and flipping it around and doing the other side.
Some claim they've gotten the compound and tool post to reach around to the back of the rotor without flipping it, but what a PITA and a huge YMMV depending upon lathe and rotor -- I tried years ago with no success.