[microcolonel]

I mean, I think Google gathers browsing history through other means (being embedded on a huge proportion of all webpages), but in the case of Chrome/Chromium, there is a separate password for the sync artifacts, I think at least in principle they are stored separately (especially since they now include passwords, social security numbers, etc.).

My sync password is different from my account password, I think it generally unlocks both at once if your sync password is the same as your account password, and you log in to your Google account.

I think this is also possible with the way that Microsoft has made "Edge" work with Microsoft accounts rather than Google accounts.