Maybe we use search differently, but I very often don't just want an answer, I want to find a website to help me. Maybe it is because I need to do business with a company and need to find their website to interact with them, or maybe I saw a cool site awhile ago that's relevant to what I'm doing now and didn't bookmark it (because I dropped that habit when Google search was good), or want to read the official documentation about a product I bought, that someone already put a lot of effort into making complete enough and digestible to a wide audience... and the LLM responses tend to get in the way.
Like the parent I use good/paid AI when I want an AI response. So, yeah, an omnibox that knows when I want "an answer" and one that knows when I want to find a thing sounds slightly more convenient than switching between two tools, but Google search is not that Omnibox.
I dont think about less keypresses though - google search would let you type two words and get the thing you know you want, an ai search doesn't really fit the mode that old school search folks were using
You really want to read the author's life story when searching for a recipe? Or wade through some content marketing plug for some vacuum cleaner shop in Albuquerque when all you want to do is figure out how to change filters on your vacuum? There are definitely gems on the web out there, but chances are I'm not discovering them via search, and I'd rather get the straight answer from the AI.
Like the parent I use good/paid AI when I want an AI response. So, yeah, an omnibox that knows when I want "an answer" and one that knows when I want to find a thing sounds slightly more convenient than switching between two tools, but Google search is not that Omnibox.