WTF? New Sprocket Shaft in the package . . .

OD run-out on splines is perfect - no run-out, Zero

OD run-out on Timken surface has +.003 run-out, Bad

It was a new sprocket shaft in the package.  

Noot thinks what happened was the surfaces were ground separately, 

and they got a shaving on the center after they ground the splines.

The Timken bearing will be shaking and probably destroy itself.
You can't just throw the shafts in and start assembling . . . 
You must check run-out on parts during assembly.
You really have to check this stuff, 
even if it seems rather mundane.