Yeah, it's likely little to do with hunting, more to do with mechanistic thinking. The same sex bimodality is observed in other primate species, from young ages, and most primates may be omnivores, but they tend to be more interested in seeds and fruit, and they aren't going out hunting the way humans and protohumans had.
Also, not all ancient hunting was dangerous enough that only the disposable sex would engage in it.
It's almost like you can make up whatever bullshit story you like to dress up your personally preferred gender roles as "we evolved that way so it's just a biological FACT".
Nope, hunting was primarily a male task. In 97.6% of 141 societies hunting was done exclusively done by males. In 98% even setting up traps was done by males. Interestingly, cooking was overwhelmingly done by women.
