Horrible and abusive... no he isn't. He's being miffed, put out at being about 3 or 4th on the list of important things. That can kill any relationship stone dead!
My DH works away a lot... when he comes home his first job is to make sure I know he has missed me. Then he can go to the loo and empty the bladder that has been in a car for 5 hours, check his phone/emails, unpack his bag, put the kettle on, open a bottle of beer, go to the pub for a pint, put tea on, or any one of a thousand other things he has to do.
If he doesn't I feel much how OPs DH has shown he feels: relegated to the 4th division. In OPs case he should expect to come second to the kids, but please, not the phone, that can sit in the side and fucking wait for few minutes!
Sorry OP, but that first 20 minutes should have been ALL about the DCs and DH - quick kiss for DH, "I'll put junior to bed and be straight back down", back to DH for a quick chat, love you, missed you, then tea and whilst it is cooking the phone. There is no other way to do this, ever!
Hint: You could stop 100 yards short of home and check your phone so that when you walk through the door you can concentrate on them and them alone. I caught DH doing this a few years ago and was quite impressed with his thoughtfulness. Thinking about it though, on here that would just be a sign of the existence of the OW 