I'm not entirely sure. I believe it has to do with the DRM implementation. While Widewine is the DRM in Chrome and Firefox, Edge uses something different[1].
I've seen people talk about Chrome being able to handle 1080p in ChromeOS. So there seems to be more than just Netflix's choice involved here. Although I bet Microsoft being proactive helped. Definitely unclear.
Also I don't see any reason why Netflix wouldn't want to support 1080p in all the major browsers. The only downside might be excess bandwidth, but with the Open Connect Appliance being a thing, I doubt it is a big factor.
As far as I understand it, you need tight coupling between the browser and the OS to implement the sort of deep-reaching DRM that Netflix/Hollywood wants for 1080p. That would explain why Edge on Windows and Chrome on ChromeOS can do it.
Personally, I see it as a plus that my browser/OS combo does not support this. There have to be horrid security implications that just wait to be unturned.
Isn't that because of Netflix's choices, rather than technical reasons?