I don't think regular people know that Bing has added AI features. Even if they knew, why would they not just use ChatGPT? ChatGPT also benefits from a fresh, cool brand name that Bing will never have.
Edit: I found the bing interface confusing. I couldn't really distinguish between the AI bit and just searching. When I asked how to write some code that did X, I got a bunch of links to stack overflow or whatever. I wanted the ai to write some code for me.