My baby girl is only a year old and is already doing this. I am a SAHM with her. When my DH comes home, I also try to ramp her up "Dada! Dada!" She does get very happy and gives him what we call "Uppie Arms" so he will hold her. But, if I walk away, she cries and reaches for me as though I may never return.
He only sees her in the evening for an hour or an hour and a half. I try to leave them alone so they can have quality time together, but lately she won't let me leave.
I think my DH is hurt as you think yours is.
My advice? It probably is separation anxiety from you. This may sound a bit harsh, but take this attachment for what it is now. Soon enough, you precious prince will be super attached to your DH and cry when he leaves. (At least that is what I am told.)