Just to give you an idea of what I am dealing with here: I have run the DTI over each jaw from the innermost 'tooth' to the outermost (at the nose of the jaw). Seven steps in all.
Jaw1: steps up linearly to be 0.26mm high at the nose.
Jaw2: steps down linearly 0.11mm before rising slightly at the nose.
Jaw3: steps down linearly to be 0.31mm low at the nose.
Jaw4: steps down linearly to be 0.24mm low at the nose.
Those measurements were made with a light gripping force being generated i.e. the jaws being firmly driven against their respective worms, but not sufficient to begin generating a bellmouth effect.
Tightening the jaws further on a workpiece to a secure level (i.e. a good 'grunt' force) generates an additional 0.1mm of bellmouthing.
There are other problems with this chuck, but they can be overcome.
Norm, how do see a convex contact face being generated? I have considered external profiling , but that would entail making a grinding table, guides, etc. I think it's six of one, half a dozen of the other.
Paul, if you check the link you'll see that the Makita is a router.
John, true, the radial position of each jaw doesn't need to be identical, but setting them in that position makes the 'spider' loading plate symmetrical.
Thanks for your comments.
Roger