I've worked on the tills at Asda. I didn't get to piss outside of my 4 hourly breaks. I broke my arm, and rather than let me even have unpaid time off work, I was put on the food tills.
Lets not get into oppression olympics, but it sounds like you've never been trapped at home looking after kids. Imagine this - I go shopping on a Saturday morning as a break - because any time alone, any time without a child yelling mamamaamamamamaaa. Is relief. I understand work is hard too, of course I do, but you do get to go home at the end of a shift, that walk home at the end of the working day was always my saviour, now, I don't even get to pee in peace.
I am privileged now, but that hasn't been given to me - my parents struggled (as in, we lived on tinned food, dad bicycled 5 miles each way to work) - my grandparents were even more working class. I got that privilege by working through school, through Uni, by sleeping in the car (bought on a loan given to me because I'd graduated - even though I already had plenty of debt getting to that point) before my first pay, by moving wherever the job was, by living with my MIL for over a year when there wasn't any work for DP or I (who was raised similarly).
Because of the constant moving, I rent. Because of the constant moving, I'm currently living somewhere with no childcare, so I have to combine trying to bring money in with looking after 2 kids. No-one's life is great, but in the grand scheme, on average, if your life is shit, it's a safe bet your wife's is worse.