I think your model of men's social status being solely based on strength, and women's on beauty, is too simplistic to be useful. Even male chimpanzees' status isn't based solely on strength (social grooming and coalition building are also really important), and female chimpanzees' status is not based on the males they attract. Human societies are complex, and people can be useful to the group in a zillion different ways. Men were never only hunters/warriors, and women were never only wives/mothers. Even in societies where almost all food was from hunting it needed to be processed and preserved, and that work was very often done by women. A beautiful woman who takes shortcuts when preserving meat and runs the risk of poisoning the whole family does not make a good wife
The core of anyone's power is how useful they are to people around them. If you're beautiful that can be part of your usefulness, but if that's all you have to offer then you're not going to be very powerful