The problem is that these names are random and never-ending. They are not categorized like Claude and GPT, both of which have four classes of models each. That's eight classes that I can remember.

There is no way I will be able to (nor do I want to) remember more than four names just for Google or any other single provider, and there's no value in doing so for me. There's nothing unique or distinguished that Gemini does that neither Claude nor GPT can.