The Tomb Raider-esque parts where the character is jumping and climbing didn't look right. She's missing some kind of "weight" or something in her animation that makes it look like she's not really doing those things. Lara Croft's animations are much more convincing.
This isn't supposed to be a real game but a tech demo of engine capabilities. Expecting them to spend as much money on getting climbing animations as good as a AAA game is kind of crazy.
When it comes to animation the interesting stuff were the "automated" hand/foot placement animations like the hand on the door they mentioned.