My understanding was that you were trying to draw a causal relationship between levels of progesterone in a person's bloodstream and their tendency to care for other people. Further, I understood you to state that women have higher levels of progesterone in their system and, thusly, care more for others.
It's the causal relationship between progesterone levels and how much people care for others that I find repugnant. It's reductive and simplistic and, I might add, entirely untrue. I do not believe that a side effect of progesterone ingestion is "increased caring for others".