I agree with Apsel. Also, this will probably change in time. When mine was a puppy he would agree to be in the same room but did not need to be touching. Now I can't sleep without somehow ending up spooning him. As I type he's laid across my feet as the world's heaviest foot warmer. As you two bond and grow he'll probably get much more lovey.
My pup is just about 16 weeks and started just about the same as yours when I got him at 8. He's still warming up to me, but I can see the progress each week that passes. The more I teach him, the more he wants.
I know some pups are definitely more standoffish than others, but also I know it's never something you can't work on. You just gotta be patient as well and not push the pup too hard which can negate your efforts.