I honestly don't mind an enterprise browser, as I assume anything I do on my work machine is/can be tracked by my employer (and also assume they have some responsibility to track it due to legal/security obligations). However, I would not be bringing my own device no matter what.
Also, small nitpick:
> Most of these browsers (save obvious exceptions like Microsoft Edge for Business) are platform-agnostic.
Actually Microsoft Edge for business "is available on Windows, macOS, Linux, Android, and iOS." according to their website.
