There's a lot of value in having your product's name be synonymous with the product category.

Google's quality has gone to shit, but internet searching is still "googling", both in verbiage and in the actual service people use. It's not an impenetrable moat, but OpenAI would have to stumble pretty hard to lose all of that edge.

I agree that there’s huge value in being the generic category name (see Kleenex). That said, Google and Apple are going to roll this into every phone and tablet and laptop/Chromebook. Yea, OpenAI can release a phone app (already have), but I’ll bet you dollars to donuts that the Google and Apple integrations will be superior, and even if the EU or somebody forces them to create an “AI provider neutral API” like they have for web search in browsers, most people will just roll with the default like they do for Google Search. You might be allowed to choose OpenAI, but most normies won’t.