I've heard of loose dampers just in the last couple of years. Not sure what the common denominator is at this point, but it should definitely be at least a light press-fit as the others have said.
And yes again to the keyway. Never heard of a 302/5.0 without one. Doesn't mean they don't exist of course. Just that it's not something I've seen.
Maybe it's the dampeners themselves, maybe it's the old cranks getting worn a little, or maybe something else (cheap and incorrectly spec'ed out Chinese parts comes to mind), but it doesn't sound kosher.
Luckily the new engine is the one that seems correct and consistent with what we know.
So just get yourself an inexpensive harmonic damper installation tool and have at it. Just don't use a hammer!
You can find the tools at most stores, and they're probably one of the ones that they loan out too. Very handy to have.
And yes, like the others have already said, the crate motor is probably a 50oz imbalance. But it would sure be nice to know for sure at this point. If you're just going by memory, I wouldn't base something so important on that. Given that the year in question was the changeover year, who knows which way yours falls.
You'll have to get a 50oz flywheel too, if you have not already. They both have to match.
Did you happen to try your old damper on the new crank by any chance?
I couldn't tell from your first post.
Good luck.
Paul