On the underside of the screen holder extension arm thing (where the springs are), there is an L shaped piece that sits in the registration gate on the pallet arm. This piece can be adjusted left or right and may not be exactly centered, but that shouldnt be related to this issue. That is the only piece on the press, besides the screen clamp that can be "adjusted" and off center, at least as far as I can tell.
With my DIY trilock pallet my "center" is about 1/4" left of true center on the other pallets, but I accept that as being just a product of it being DIY. Everything is in register still, and the image being 1/4" off the center of the shirt, which is pretty much never loaded absolutely perfectly dead center anyway hasn't been an issue I care about. I don't have another press to check it against, but I would assume any press it was used on would also be 1/4" left...
I can't really understand why it would be dead center on the pallet on the auto but not on the kruzer unless for some reason one of the pallet clamps was off center somehow, but that isn't possible based on how it is attached to the pallet arm from what I am seeing. That would also mean it would center on the pallet on that arm after the trilock was removed...