There is of course another way.
Set all dead straight.
Off set the topslide. to the right angle.
Measure accurately the thick dia and the thin end.
Turn two short tapered collars to size and take a groove out between the collars.
Its going to be difficult to get it dead right, so some adjusting with emery, oil and engineers blue is going to be necessary, but it will do it without all this chatter bit, and use of bell -ends. (I have a couple – lucky me!. Arc Eurotrade do them)
You can always test by taking the whole chuck off – don’t loose true centre.
Last alternative. – Hemingway – taper turning attachment. Make – fit – use. Recommended – gets over all these problems. You can extend it too, so its long enough to do loco rods and traction engine con rods etc. (I wasn’t going to pay for a Myford one)