I have tried clearing my cache and cookies, disabling all my browser extentions and signing out and in again all simultaniously, however this did not fix the issue. Your other solutions describe a different problem than the problem I'm having. I tried incognito mode but that didn't work. What did work however, was using YouTube while being signed out: both in incognito mode and the regular browser did the comments work properly. Yet it doesn't work when I'm signed in.
I hereby conclude that it has nothing to do with edge itself, but is on YouTube's side.