craftsman drill press run out

Just a followup. My drill press was markedly improved with removing the burr in the fit, BUT, it wasn't perfect. Recently I was just playing around and removed and re-inserted a bit numerous times. Every time it was still off center but by different amounts. Even though it looked great, it was the chuck. Just replaced the chuck and the arbor and now it drills straight.
I don't know why I didn't suggest that. I have a Jet drill mill. It has a taper that accepts collets, and then an adapter shaft for the chuck. Collets are much more true than the chuck.

In looking back, even though I don't use it much, MAN am I glad I bought it (used) when I did!!! I think I paid 400, I don't remember.