I didn't need to do this as H wasn't like this when the kids were younger, they still need ferrying around and he still does what he can.
H dropped them to school almost every morning (primary) and on the rare weekdays off, or just around, or in am emergency, he would pick them up.
I was a SAH and asked him why didn't say I needed to do the school run in the morning, he could of reasonable request or on his odd days off why did he come or do afternoon pick ups i suggested on a number of occasions to go do something.
But he said, he is their dad, he wanted them to know that he thought school was important and dropping them off was all he could do. He loved hearing about their day as soon as they came out, the good and the bad, that he knew they wouldn't be so happy to just see him for long, they grow up and he got extra kudos because it's cooler to have a dad at the school gates rather than usual boring mum.
So ask him OP where he rates being a dad, obviously under golf. Explain to him that he should be wanting to do these things for his children it's not about giving you "time off", it's not a battle on who can have the most time at leisure. It's about being a dad first and foremost. And yes boo hoo longer hours, H worked most days right up to bedtime, 8pm was usual return home he was gutted if he missed them before they went to sleep but it did happen so he got woken earlier because dad still needed to hear all the news. And working late, getting woken early, juggling a hectic job and nativity plays, parents chat, illness, never once, not once did he snap at the kids, try to avoid them, tell them he was too tired (occasionally he had to tell them he was too busy with work).
And this bond, love, relationship they and him still have had grown from there, it helps me reminding them about homework they know dad would say the same. It helps everything.
So talk to him OP. Tell him, calmly, you are not impressed at his seemingly dodging of parental involvement. It's the kids who gain most from his involvement, then him, then you, in that order.
But you need to do it calmly, not accusingly, almost questioning why he makes those decisions. See what he says and then take it from there.