I'm going to get splinters in my arse on this one as I can really see both sides and I don't think anyone is being unreasonable really. It's just a matter of understanding how your actions are perceived by others and having the communication skills to deal with a mismatch.
I'm closer to the DH in this scenario. I often work on the weekend and in the evenings. DH works full time but no more. When he's off, he's off. I am incredibly lucky that he picks up the slack with cooking, shopping and arranging our social life. I'd be devastated if he felt that I was taking him for granted and being disrespectful by working on weekends. So I tell him regularly how much I appreciate him and try not to take the piss. I make up for it in other ways. I'm what might be considered the project manager of our lives.
On the odd occasion where he's pushed back it feels extremely irritating to me and it's added stress on top of a situation that is already stressful enough that it's necessitating me working from home. I feel he doesn't understand the pressures of my job and I just want some solidarity. It makes me feel misunderstood and undervalued. I imagine that's what your DH feels.
However, my DH feels I'm prioritising work over family and that I choose to do this rather than having no choice. That makes him feel undervalued and not really 'seen' as a person.
I've had to take a long hard look at what I do and accept that a proportion of what I do is a consequence of my own high standards and workaholic tendencies not a real demand of the job. Yes, some things really are that important and the pressure is real. Other things not so much and the pressure is of my own making. I'm still not perfect at telling the difference but a lot better. Ultimately I love my family way more than my job and that's my motivation to keep working at it. Consequently, when I do work my DH is more likely to be sympathetic and bring me a cuppa at my desk.
The one thing that really helps for us is respect and communication. First off, despite the salary difference (I outearn DH although it hasn't always been that way) neither one of us considers our job more important than the other. We both recognise that we've built a life that is mutually dependent on each other's contribution to work well. We approach our family as a team, kids included, with everyone needing to pull their weight. We also try to eat together as a family most nights and schedule family activities to ensure work doesn't get in the way.
We also talk. A lot. I try to pre-warn DH as much as possible if I'm going to be late/working that evening etc.
I think if the phone calls are a flash point, if I was your DH I would sit on the drive until complete or wait until I'm home, said hello and then make the call so you have my full attention when I come through the door. It doesn't take a genius to see how barely being acknowledged is likely to make someone feel diminished.