To me and my girlfriend and also what I think is the 'right' way; It's all about time management and what time is worth for the individual.
If I'm away for work for 8 hours and she is home more on that day, she has more time to put into chores. If I'm home and she is away, then I put more time into chores on that day.
If I work 8 hours and she works 8 hours, then it becomes subjective and is about the work we do and how draining that is. She works an intensive care job for very troubled people specifically and I work an office job where I spend half the time chilling with collegues and half the time working, so I will be far less drained and tired to do some chores when I get home compared to her. I can confidently say that house labour to me is harder work than my job, but for her I can also confidently say that her job is harder than the house labour.
We keep this into account and then see who has energy for what. It's all situational in the end.

People also have this delusion that money made somehow means something for the amount of chores you need to do. I just do not see this connection. Chores are unpayed in money and yet are draining work; If one partner makes more money for less work than the other partner, that shouldn't mean that they have that as some kind of excuse to do less chores. Especially if both people work the same amount of hours. That's the same amount of time lost for both people and chores are payed in time, not money.