Hey Iternabe, I listen to my favorite recordings as well. Before I start learning, and then I stop for a while while I'm learning it, and then I'm listening again. It's not on purpose, I'm just listening to music to find a piece I want to play.
I have the same problem as you have, I memorize the music, and the tempo/time when I hear it. So I didn't learn much about that. I took lessons for a while again 2 years ago, to fix that. The teacher asked all sorts of beginner questions about it and I didn't know the answers. He said, I don't understand, how can you play this while you don't even know things like that. Oops, I felt really ashamed. I still can't do those things so I'm thinking about taking theory lessons somewhere for it. With a real teacher, not with videos. Because I do want to learn it, but I don't really want to play my first methodbook again now.