Neither should really be loose, however have you breaded them yet? No turning them in the socket won’t hurt them it’s a literal ball and is designed to rotate.

Wait sorry

https://preview.redd.it/0ck6pkbsc02c1.jpeg?width=1080&format=pjpg&auto=webp&s=9cf7d06506994d2c0f01639923644268ada5c6f5

This bolt has two flat edges use a 2nd wrench to hold it still

No it’s normal, if you look at the ball joint you should see an Allen wrench hole? Perhaps at the base there’s even a nut so you can hold it still and use a 2nd wrench to turn the ball joint locking nut.