Mine doesn't climb my shoulders at all, or to be exact, he doesn't climb anything. He can't even jump!
He will try to jump and jump just to get on the couch and still can't reach it. If his bed is not on the ground, he won't be able to get in it. I elevated his bed a little one day and he just slept right next to it. I'm thinking the reason might be because he is very petite. Who knows?!?