Is there something about Jews not being able to say "God?" I find it a little cringe, but I get religious people censoring the world if it's used in a bad way, like not saying "God damn," but censoring it when you're talking about you speaking to God just seems weird.

It's an extension of the "Thou shalt not take the name of the LORD thy God in vain" Commandment. Because Jewish culture revolves heavily around getting out of things based off of technicalities, they will say that they're not invoking the name of god if they use g_d instead. It's similar to how they string up wires around their neighborhoods to say that they're "indoors" by technically being under something because Jewish law says that they must be indoors for the Sabbath. Or how they'll lock away the food in their pantry for Passover. It's stupid and disingenuous. As if god is fooled by their technical observation of his laws when they're clearly trying to actively circumvent it.