Women shouldn’t be expected to know how to do laundry, cook, or avoid dirty jobs. Men shouldn’t be expected to be tough and “walk off” injury and trauma, etc.
I know I’m walking a fine line, but still, in general, women have certain interests/traits and thus have their own skills/tendencies: care for children, avoid dirty jobs, etc. And men are tougher thus can more easily “walk off” injury and trauma. So when you see a man and a woman in an accident, both relatively little wounded, would it be morally bad to say to the man “you can probably walk it off”, and to the woman “do you need more help with that?” ? Because there is just a higher probability of this being the case. This shouldn’t obviously taken for granted, but if you don’t know them, and the injuries are right in the middle where you kind of expect them to be okay, but are just on the verge of asking/stating anyway, you would say these things and thus distinguish between them based on gender. Is that so bad?
Where are you getting “men are tougher than women” from? Do you have a source for men being able to walk off injury and handle trauma better? I’m not being a dick, generally asking because I’ve never heard that claim before.
Men have more muscle mass than women so they are stronger, particularly in the upper body - and their skin is thicker (literally, not metaphorically). But boys are also more fragile than girls; they are more likely to die before birth, more like to be born prematurely and more likely to die in childhood. In adulthood, women have a stronger immune system than men and they recover better from brain injuries. Boys and men are more vulnerable to environmental contaminants and disease in general.
https://www.scientificamerican.com/article/are-men-the-weaker-sex/
So for example a physical trauma. Both man and woman get hurt by the same amount, the man would have a higher chance of “shrugging it off” because 2 reason: thicker skin (as you said), and have a rougher mental (or at least want to appear to have), e.g. they want to be seen strong, so they are more inclined to say they are ok
What good does it bring to expect that people behave according to gendered biases? We all know it brings a lot of misery. I think people should think really hard if they prefer to believe in stereotypes about gender because it benefits them somehow more if this status quo is kept.