Can you actually switch the default browser with group policy? What if your team only has the bandwidth to support a couple browsers, and your users say they want Chrome and Firefox?
If this is an honest question, then Microsoft's answer is that you use Intune to push the Chrome & Edge settings (via the same policy node, since they're the same engine, they just report their spying to different corporations) and import an ADMX for Firefox policy. That's two browsers worth of policy that you're supporting, but it actually handles three bits of software.
This doesn't answer my question... If an admin does not want their users using Edge, is there an actual way to configure the default browser that doesn't end up opening links and such in Edge?
Didn't realise that was what you were getting at. In short, no, you cannot stop deep-links for Edge from opening in Edge.