The point I was making is that there is a difference in mental load between being a project leader and being a team member and that's a recognised fact. It's an extra mental load. It's not wrong to say so.
We don't deny that it is the case when when we get promoted at work. We don't deny that your mental load increases when you are not just responsible for ensuring your own work is done.
Imagine if someone who doesn't have the same responsibility as you said that what you do is 'just being an employee' and it's no more of a mental load than the work they do as a team member who only has to manage their own role in the project. After all, they still have to get to the office on time, they still have deadlines to meet, etc.
But it's not the same mental load is it? Just as for me, with no children, organising my own appointments, juggling work around those appointments, etc, is not the same mental load as doing all that for three other people as well as myself.
I am not saying being a mum is the mental load equivalent of being a project manager for a big company. I am saying it's as disingenuous to claim there is no difference in mental load between a single person who only has to do their own administration and somebody with dependants who isn't just responsible for themselves.
We recognise it in the workplace. We complain if we do more and it isn't recognised. Why is it not acceptable to recognise it in the home?