To be concerned that my baby is too independent?

[SheepSaysBaa]

My baby is two months old and has been sleeping through the night for several weeks now. Baby is happy to be put down anywhere and will e.g. lie on bed looking around for ages not fussing or crying for me. Makes little eye contact. Very few smiles at me so far. Likes to be cuddled but just doesn’t seem very fussed if put down.

Seeing my friend’s babies upset at being without them for more than a few minutes has me starting to worry that something is wrong for baby to seemingly not need me all that much. Does baby have attachment issues? Am I doing something wrong?

Our second slept like this, I used to cuddle him while he was asleep. Dh thought there was something wrong with him after the first was a whirlwind of a baby. But he's perfectly fine.
He was always a happy baby and was the kid all his friends parents would invite to days out as he was well behaved. Now in his 20's he can be a bit of a pain in the butt, but he smiles and gives me a hug and all is forgiven.