Yes, it's obnoxious. And so are the nonstop popups telling you to use Chrome that Google shows you if you're using Edge on Maps, YouTube, Gmail, Search etc.
Both of these companies should be slapped hard for doing this.
"fun" side effect of that: even if you wanted, you can't actually get rid of the nag screens: even if you did everything e.g. Microsoft wanted from you, then Google will keep nagging you to revert the settings back to the opposite - and vice versa.
Users are basically in the middle of a conflict between MS and Google, with no options to get out of it (except stop using their products).
Users are basically in the middle of a conflict between MS and Google, with no options to get out of it (except stop using their products).