"My question is, how tight of a fit are they supposed to be in the spindle? I can push them in my '53 by hand. They don't seem to have any slop at all, but are loose enough to get in by hand and they can spin, yet snug enough that there is no slop."

Press-fit by hand.

If there is no looseness/wobble, you are lucky. I would just install them and use them.

I am interested, as you are, in other opinions.