Maybe wanting and desiring is human to some extent, but I got the impression Data wanted a lot more than just that. He wanted to truly understand humanity and experience things the same way they did-- and that's something he never fully figured out how to do.
But humans don't fully understand themselves or each other either. And no two people experience things in the same way.
Getting the kind of understanding Data wanted would've made him more
than human. Of course, wanting more than we can ever possibly have is very human.