Just tried the game out, I like it but I hope theres areas with more emphasis on exploration (ala Tomb Raider like some have stated). I think this just being a Demo, Naughty Dog is just showing off the basics and shooting mechanics. It looks like the game (from other areas shown) should be heavily influenced by Tomb Raider.
Also, as Hitler Stole My Potato stated, the character interaction with the environment does feel floaty. You could tell from the early videos of the game, I guess they did nothing about it. If it gave me a more SotC feel, I would be fine with that.