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.