Naw, holding the door or carrying stuff for sick or handicapped or elderly people is great. I'd sure hold the door for a person (regardless of gender) if they were sitting in a wheelchair or having trouble walking. Or for a person carrying a huge load of stuff.
Anyway, that image posted here is implying "real men" have to open doors for perfectly healthy young women. At least what you see of the woman in the picture looks young and healthy. That means in order to be real men they have to treat a healthy woman as if she was sick and weak? Well thanks. Makes me feel reeeeeealy cherished as a woman.