I've read a couple of things on Medium, but I didn't realize it was a blogging platform; I thought it was just a site with writing (i.e. "a collaborative writing community sort of thingy-mah-bobber").
And I guess this is the main knock of the OP of Medium. All the features support their brand and not you the take-my-content-for-free blogger.
Why would any self respecting blogger interested in owning their own content, brand, identity or control over those ever use any sort of platform like Medium? For one, we know their short lived. For another, just freaking why? I guess if I wrote and needed people to read it to eat or get my ego stroked.