Comment by cj
Seems unnecessary.
The same policies also offer the ability to force-install an official Google "Endpoint Verification" chrome extension which validates browser/OS integrity using Enterprise Chrome Extension APIs ("chrome.enterprise") [0] only available in force-installed enterprise extensions.
FWIW, in my years of managing enterprise chrome deployments, I haven't come across the feature to force people to use Chrome (there are a lot of settings, maybe I've missed this one). But, there definitely is the ability to prevent users from mixing their work and non-work gmail accounts in the same chrome profile.
[0] https://developer.chrome.com/docs/extensions/reference/api/e...
Edit: Okay, maybe one hole in my logic is the first-sign in experience. When signing into google for the first time in a new chrome browser, the force-installed extension wouldn't be there yet. Although Google could hypothetically still allow the login initially, but then abort/cancel the sign in process as part of the login flow if the extension doesn't sync and install (indicating non-chrome use).
In my current job we do have force-Chrome setting enabled. I can't log in to Gmail through any other browser. Neither SSO login to GitHub via Google.