The devil's in the detail IMO.
Some people (anecdotally, mostly men) enjoy the 'stressful' careers and don't care about seeing their children at all. Ambition is uppermost, so their other halves have to take a step back or risk having nobody around to actually parent. I've seen a lot of this. Or sometimes, kids have SEN so it's an absolute necessity.
Others don't, but their spouses are enjoying a nice, stress-free life at home, never really liked working anyway and don't want to go back. It's not say that they're sat around twiddling their thumbs. Just that it's lower stress. Much like even jobs are different, some are easy and low stress, some are not.
Choice is a privilege as well many many couples both have to work high stress, not very well paid jobs and are on a constant treadmill!
The other point to note is that, like paid work, not all domestic work is created equal. And a lot of high expectations are self-inflicted. Food shop, cooking, laundry all have to be done, yes. But one doesn't need a spotless house or gourmet cooking. I grew up with 2 working parents, mum was an efficient cook with a limited, but perfected range of dishes. Our house wasn't the tidiest. Didn't do me any harm!
As a high earning woman I wouldn't be impressed if my 'domestic' other half claimed they had lots to do but it involved excessive cleaning/baking/making noodles from scratch/whatever. But equally, so many women have a heavy load because the men don't lift a finger at all. I can't believe how many don't even put their clothes in the laundry basket, their dirty cups in the dishwasher or even wash anything they use!
Never mind the mental load of keeping track of things. I'm lucky in that my husband and I have our jobs. Laundry, toilet paper, bathroom stuff etc for example is his department, the kitchen is mine. I don't even have to think about toilet roll or washing powder running out - it just appears. Just as he doesn't think about dinner.
Every family is different, the important thing is that both parents value the same things and make conscious choices in a way that works for them. Rather than just falling into whatever seems easiest at the time, leading to long-term resentment.