Do some people try to gatekeep God or am I going insane?

I've seen this thing a lot where people are preaching about the goodness of God and they go on about all of the amazing things God represents, but when they see someone worship Him a different way or hold a different belief from them then all of a sudden it's "MY God."

And like!!

It's not wrong to call Him "my God" because it's a nice thing to acknowledge that He's there for everyone and personal, but it feels so petty to switch it up when you're talking to someone that you don't agree with who still believes in Him...

Like even though we worship differently, it doesn't give you the right to invalidate my faith, y'know?