You say that as though it's easy to do these things...
Don't get me wrong, I'm not talking down Medium's product - it's fantastic. But the OP claimed that Medium has "unambiguously, objectively succeeded" in being innovative, and I just don't see it. I'd actually argue that Tumblr was far more innovative - there are some fascinating forms of content that came out of that place, not to mention the whole social network, reblogging effect, etc. etc.
But neither has shaped up to be a particularly successful business, and placing perceived innovation above that might not be wise when you're talking about user generated content. What happens if either of them fails?
That's... not an easy thing to do. Making anything to do with technology "easy" is no small feat; that Medium was able to do this with as big an incumbent player as WordPress (for example) is an even bigger feat.
Offering something easy to post that's looking good across devices?
Gimme a break, they have a single basic template, and minimal authoring tools. With these constraints, there are literally tens of thousands of Wordpress, Ghost and vanilla HTML templates by various developers/designers with 1/1000 the resources of Medium that look just as good across devices.
Is that really "doing something in a new way"? Or is it "doing the same thing in a new place?"
You could say the same about Obama posting on Tumblr: http://barackobama.tumblr.com - except he hasn't done so in three years.
Medium makes it really easy to post something that looks good across devices etc., and has good sharing integration. That's all.