I'm confused by that, "the person I was with". I didn't think it paired you up with someone specific? For me there was several different people, some were playing the game, some just wandering around. Rather than turning the game off I would've put it down for 5 mins and let them go on ahead? But then again, that stems from the fact that you were aware in the first place that it was another player, and that you could turn the internet off to get rid of them.
Generally I feel like I had a different experience to most described here. I don't feel like I "did the game with someone", just that there were some people there along the way.
No, I played it six months ago. I don't see how the other players take away from anything... The game isn't a series of puzzles to solve really, so what does it matter if someone is sharing the experience? I even find it funny that Kotaku says "when you first play". For me the game is a one-off, there's really no need to play it twice. Once that box is checked you'll never recreate the experience. Hence the title.
I have shown this game to a few people since and felt that an important part was not to tell them anything. I don't want to go off on a tangent I'm just a bit surprised that there's an article out there that is, for me, depriving people of what was one of my favourite ever gaming experiences...