I would like the 3 jaw on zero run out is so I can do precision work without having to dial in the material first and be able to take work out and refit it into the chuck.
May as well try pissing UP a rope unless your idea of 'zero run out' is measured with a grade-school plastic ruler.
Regardless of 'jaw count', nothing you can do to the jaws can eliminate scroll wear, damage, distortion, imperfect manufacture, or imperfect positioning. All of which get worse, not better, as the scroll operated chuck is USED for anything meaningful.
Either find a collet system that can hold the size stock you need 'rather well centred' (never even then 'perfectly') . ELSE .. learn that mucking about with a 3-J, even a Set-True/Adjust-True isn't necessarily as fast as ...
-- using a DECENT 3-J
within its inherent limits when you CAN do [1].
Then
swapping to a collet system ELSE 4-J independent when you SHOULD do.
IOW - settle for making tea or coffee reliably.
Not trying to boil the entire ocean with a not-even-adjust-true Chinese 3-Jaw chuck as your primary cookware.
And sorry . .your budget or lack thereof dasn't impress the Laws of Physics by the mass of a single charmed Quark. Wishing and chiseling won't change that.
Yah wants better repeating precision, yah gots to invest in better grades of tooling and more options among it [2].
Meanwhile soft-jaws tuned-up for a specific task, same scroll position, worn, damaged, or otherwise, will be faster and cheaper that f*****g with the chuck
under the soft-jaws.
PM no doubt has electroplating experts who could in fact gold-plate a dried turd. Don't expect them to try and make it into a reg'lar exercise of the sort folks just won't quit trying to apply to cheap, worn, damaged, or 'all of the above' 3-J scroll-operated chucks, year after year.
Bill
[1] Anything under ten thou is eminently usable for what a scroll-operated chuck SHOULD be doing. THREE thou is damned good. Trying to 'hold' not just hit better numbers in real-world USE is chasing diminishing returns. Even rather good collets sweat to break a half-thou, net-net on repeatability. Specs only call for 2 to 6 'tenths' on most collets manufactured in volume, brand-new and undamaged.
[2] Those uber-precise over multi-thousand piece-count 3-J nose-art found on CNC critters?
Power operated. AND NOT by scroll-back. And not even remotely close to 'cheap', even if Chinese.