No, because unless they state otherwise we should assume that they consider search overview to be an AI assistant (they definitely believe this) and also that it's one of the Gemini Apps.

Look, there's not enough information to answer this within the paper. I'm not willing to give Google the benefit of the doubt on vague language, and you are. I'm assuming they're a huge basicappy evil corporation whose every publication is gone over and reworded by marketing to make them look good, and you're assuming... whatever.

That's fine by me, we disagree. Let's stop here.