Sounds more like a lonely weekend with DH leaving you too it.
I have a DIY house renovation, gardening, pottering, do up cars husband variety.
He's never done any of these things to actively avoid spending time with the kids, he just drifted into his weekends being planned around his things and list in his head, leaving me to arrange kids stuff and I was bottom of the pile.
The feeling you have is a wasted weekend but also being lonely and left to sort, food shop, washing, kids, cleaning, tidying.. which leaves no time for you.
I changed this and made it work - we then spent Friday evenings cleaning the house together set a timer 1.5 hours big scrub, change bedding etc.
On Friday we'd do an online shopping and basically I made DH understand how much of my weekends were getting taken by admin.
Then Saturdays were take turns with kids and cooking etc, so if I want to head to the shops alone, walk the dogs alone I just do, and he gets to do DIY etc we just take turns.
Sundays we meet friends as a family, pub garden, walks, meals out, visit family.. and we would just plan one evening meal on the Sunday so a BBQ or roast dinner etc and take turns to do this, then Sunday evening we'd both relax and spend time together watching TV, doing some exercise etc.
We still have the same pattern now and have older teens, there is a 100% respect for the mowing not come before the family.