Hmm, a surprisingly hard question. Now that I think about it, I guess I thought of 'the old Daniel' as a completely different person, and I was 'the new Daniel'. (While playing the game I didn't really think "I am Daniel", tho. I just thought I was me.) So basically I suppose I didn't relate to the character, and did things my way. For example in the water part, it was impossible to be calm and start thinking, "what would Daniel do?" Instead I panicked and did whatever I could. I was actually a bit ashamed afterwards that I didn't think of moving the boxes, but maybe that's just better. Anyway, when you have to make choices, you start thinking what someone would do, not when you just have to do stuff.
To be honest, I'm not even sure if I'm correct. It was quite a while ago since I played the game so I can't really remember.