"Google" at least doesn't have an acronym for "Generative pre-trained transformer" baked into it.
Even you agreed that almost nobody knows what GPT stands for - which means it's as random as any other three letter acronyms.
So i argue that chatGPT is indeed a good name (as good as google was).
Car brands are like that, does the average person know or care what GT, RX, STI, WRX etc mean?
And many people don't know what Google stands for. Just like they probably didn't care what AOL stands for, or MSN