sometimes "carry the mental load" looks like organizing and remembering the grocery list, remembering whose birthdays are when and planning gifts and cards in time, etc. - it's not just feeling burdened with emotions or emotional labor in that sense (obviously men have emotional loads, and often don't feel they can be vulnerable enough to get help - but the problem there is still patriarchy, the same problem that puts women in the position the meme talks about: men and women have a shared enemy, and it's patriarchy).

We can't talk to humans, admitting to having feelings and problems is seen as weak and unattractive. It's just a another part of the load.