We both work F/T, both in roles where we have flexible hours and can WFH, and we split the hands on time with the DC about 50:50 (school runs and taxi service, feeding DC breakfast and tea, activities, homework help, playing with them etc)
So if anyone looked, or if you asked DH, they'd say we do split things equally, and FWIW, I don't think it's a fair comparison to judge the split in couples where one works less hours than the other (as in those instances, I would fully expect the one that works less to do more of the childcare.)
BUT I have a managerial position and can work crazy hours (60hrs per week), and I earn about 2x what DH earns. So is it equal if we split things 50:50 If my DH had the more stressful/longer working job, would he expect me to pick up some of the slack?
AND the mental load is almost 100% carried by me. Things I do for the DC which DH is probably unaware of include:
plan and buy 90% of the presents
sourcing and buying clothes for both DC
research and book holiday childcare
arrange babysitters for joint nights out (if DH is organising a surprise for me, he will organise babysitters, but any other nights out is down to me)
plan and research education (choosing and applying for schools and the like)
plan the meals and buy the actual food
plan and book clubs and activities (including prompting the conversation about when they should start them)
I also manage all the finances, holidays, services etc, so the total household management load isn't 50:50 at all. But the visible childcare is equal so I'm considered lucky to have such a hands-on partner.
I don't know many couples where both work the same hours, but in those that do, I'd say it was similar. So I think your DH is living on cloud cuckoo land!