I have tried to contact Motive gear for ring hole spec with no success.
Another ring manufacturer (Richmond gear) give me the Dana 44 ring hole diameter to be in the 5"563 to 5"564 so i came to the conclusion that, with a pilot spec in the 5"625 to 5"564 (Auburn spec) some carrier / ring pairs have tight fit while other could have a very very little play (remeasured to 0"0012 in my case).
I notice also that old ring has a different manufacturing process ie a different cut process of the teeths and that the centering hole is rectified : it could explain that old process could be more precise to obtain tight fit while new process has more variations.
In my case, if i sligthly
oil the parts, the play is no more noticeable at all. I have bolt the ring on the carrier and verified the radial runout which is below Dana specifications so i guess the setup is ok. If i order another ring i guess i could have same "issue" so my goal is to mount ring with a little touch of loctite radially applied on the centering diameters (not on the mounting surface althought i remember to have read that some guys do it !).