It's unfair to judge Microsoft by their previous failures. Sure, let's all forget about IE as soon as possible. Edge itself isn't so bad. I really don't recall many, if any, support issues with Edge. Certainly not the most recent versions.
And given that Microsoft are actually driving and supporting modern web standards in Edge that expertise could be a welcome addition to the Chromium project, assuming their engineers will start focusing on that, rather than their own engine.
Honestly, right now, if there was a choice between two browsers and they were both platform agnostic across all platforms and that choice was WebKit with Safari or EdgeHTML with Edge, I wouldn't hesitate in the slightest to pick Edge. WebKit is the new Internet Explorer.
There, I said it.