The only thing that might predispose women is when they get pregnant. Most forms of hunting don’t require excessive strength. This is not speculation, prehistoric people do not give a shit about your value system or how it imposes itself on science. Animals in animal world be animals.
This won’t change as long as property ownership and property renting is unified. There’s just to much of a business incentive from renting, even if it takes decades to make it back. Worst that can happen is that it can sell it back to a market that criminalizes homelessness instead of treating it or its causes.