Why won't upper ball joint removal socket work?

Thank you for your generous offer. If I need to get another one I will just buy a used Snap On From Ebay. The car has been in my family since new so I'm fairly certain I am dealing with original parts installed at the factory. The ball joint is 1 inch and 59/64 ". I measured it. That is what the ball joint socket I purchased is labeled. See my original post in this thread.

My question is: Do all these ball joint sockets fit loose? Do the Snap On ones fit tighter? It seems to slip off easily before I can get a good pull on it.
Please refer to post #9 from @65 Cuda 340. There will be a tiny bit of "slop", but not too much. I also really liked #28 by @pishta . I actually successfully used a large pipe wrench to remove both front ball joints on my 69 Barracuda many years ago. I bought the correct socket before reassembly. I guess I overread the fact that you measured the ball joint. My bad.