It's a silly shibboleth, but I automatically ignore anyone who calls it the Department of War or Gulf of America. Hasn't steered me wrong yet. They're telling me they're the kind of people who only care about defending fascism.
I think it's worth giving people a tiny bit of grace on this. I've surprised people by explaining that the "Department of War" is just fascist fanfic and that the legal name has not changed.
It's a testament to the broken information ecosystem we're in that many people genuinely don't know this. Most will correct themselves when told. I agree with you that those who don't are not worth engaging.
I would not defend all of Google's decisions in the Trump era, but complying immediately with politicized name changes has always been the status quo. Even in healthy democracies, the precise names of geographic features can be extremely controversial, and no sane company wants to get in a debate with the Japanese government about the real names of various islands.