Concerning Sony, what they have currently said is that the PlayStation 4 can be played outside of a Internet connection. We don't specifically know what this means, or whether it just points to the ability to play singleplayer games offline and (the obvious) multiplayers online.
This has to be one of the biggest problems coming into this next-gen, is the amount of mis-information and skewed truth. Sadly this is due to all the PR bull that floats around to ensure no one says anything "wrong" or out of line, but it is definitely not helping the hardcore market who listen the most.
From what I've seen so far in regards to discussion on the Xbox One DRM, is that the mainstream don't care. They'll grab one and #dealwithit, but the more concerned are the hardcore guys and gals. Are they the bread and butter for Sony and Microsoft? I'm not sure. Guess we will just have to wait, but for now I definitely think any device that tries to tread on consumer rights is not going to do well.
Also my previous comments about the reactions to this in comparison to Steam still stand, I feel like what some people are complaining about has been going on for awhile now on the PC market. Yes you can get cheap games through Green Man, CD key websites or other sites, but it still ties back into Steam. Of course Steam also offer those lovely deals, but checking the top sellers right now and you'll see a majority of those titles are still highly priced, at least in Australia where I live.