When we ground lathe chucks we used a needle bearing inner race first in the back jaws then in the front and reached thru it to relieve the inner jaws, this kept the scroll play in the same direction as when using it. We had d series splindles and when installed 0-0 on spindle and the zero key socket was used they would repeat around .0005 unless damaged or abused by overtightening them. ( This sprung the scroll)
We had soft jaws that were bored when installed for special or thin parts. Again the load was done in the same direction as use to maintain accuracy.