I do recommend you give it a try. I was in a similar situation as you, although I made the conscious decision to teach myself "proper" typing when I was in my mid-20s. I don't think it has made my typing significantly faster -- maybe a little bit faster, with a bit fewer mistakes -- but I really felt the difference in how pleasant typing felt. Reducing my hand movements during typing has probably saved me from early joint / carpal tunnel / whatever problems.