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But one wouldn't have been surprised to find out that the Microsoft's KHTML based browser doesn't run on any open source operating system.

Not yet, but a Linux version of Edge is coming later:

IIRC it exists for Android.

Android is open source in the same way that Chrome is. That is to say, not.

I'd contend that it is closer to Chromium as the Googley bits are in Play Services and OEM builds.