So instead of putting in bizarre kludges in various parts of the UI fix the underlying issue - browser login should not be a prominent feature (it should be called sync bookmarks/history in settings somewhere), google logins should not be displayed in browser chrome and google websites should not get special treatment (either in cookies or login status).

That’s why people are complaining - they see that google clearly wants to privilege their own sites and logins in chrome and push the users to always be signed in with google across any site. Great for google, bad for user privacy and the open web.