I am no fan of ms, but you make a good point. I usually use safari on my mac, and dl chrome for work (create a profile for each client, have gmail separated, etc). Never has google asked me to set the search engine and every time asked me to set chrome as default. It also does some ‘magic’ when i login to gmail and makes my session ‘identifiable’ to chrome.

I don’t use windows so am not a user, but can see how google uses chrome to make google the default and ms using windows to make bing the default (yes brwser vs os, but i would guess 90% of peope ha e no clue of the difference)