Not parent, but "Google AI" is overloaded - Google has a many AI products that won't be "Google AI". "Gemini" refers to a specific set of capabilities, which are a subset of Google AI efforts[1]. Imagine Apple developing a new, non-iPad slate and branding it the "Apple Tablet".
Granted, Google's AI strategy is still muddled, e.g. Gemini is maybe replacing Google Assistant in some scenarios, but I'm able to express my meaning clearly with Gemini in the preceding sentence, as opposed to "Google AI is replacing Google Assistant - which is Google's AI assistant"
1. Gemma, Flash, anything Google Deepmind develops would be Google AI products that won't fall under the "Google AI" branding
Gemini has already replaced Assistant for Pixel users and on modern Nest devices. In the current Android Auto beta, it's also replaced it there, too.
The thing that confuses me, though, is the fact that they use the Gemini branding for both the dev-oriented products you can license via Google Cloud, as well as the consumer facing AI interfaces, and then also for the ties into Workspace products. ... but then there are standalone AI products (or is a feature?) like Notebook LM that aren't associated with Gemini.
It's a great name. "G" matches the company, it's easy to say, it's a known word, it sounds good spoken, and the word itself has many subjective interpretations as to what it might mean (e.g. gemini = twins = you and AI).
Same reason that it's Alexa and not Amazon Assistant, Siri and not Apple Assistant, etc.
Google Pay/Android Pay/Google Wallet/Android Wallet/Pay Pay/Yap Yap should be the focus of our ire.