It makes sense. And Google is its own way to name all AI products “Gemini”.
Probably will use other astrology terms. Like the way android is named for desserts.
But they put Gemini in google docs, they didn’t rename Docs to Gemini like Microsoft did.
I think they'll more likely launch competing AI projects like 'Aquarius' and 'Doh' or something
Which is unusually simple. I would expect Google to use 10 more marketing names simultaneously without any logic to the product lines.