some things I've noticed: Mobil Safari seems to be using the search bar to hijack my google search (Particularly for locations which open in apple maps)
Although I'm mostly linux these days I went to install an alternative browser on a windows machine (using edge to download). I mentioned this in another post, but edge seems to watch for "chrome" or "firefox" downloads and politely reminds you that 'Edge is a great browser with added "trust of microsoft"' (A company who happen to be watching when you download a web browser).
https://www.theverge.com/2021/12/2/22813733/microsoft-window...
Linux seems like an OS that is way more respectful.
Unless you are referring to the search field on google.com, it is not hijacking’s your google searches. It is suggesting actions based on your input to the url bar.