Okay, but it's not just size and strength. Women have better color discrimination, better landmark sense. Men have better time/speed sense. While pregnant the long gestational period makes the woman more at risk.
Women certainly can hunt, men can certainly harvest berries, but these other traits came about for reasons. If we were wrong as to why, that doesn't change the differences.
Colour discrimination sounds super important to finding camouflaged prey animals and landmark sense sounds super important to wide ranging and unpredictable hunts. I dunno dude, unless you can cite experts in exolutionary biology supporting that inference, I'm going to say you're taking out of your arse.
Landmark sense sounds just as important to hunting as gathering too lol. What even is landmark sense, anyway? Is it a real thing separate from just, like, short-term memory or whatever?
I'm remembering that color blindness is actually really good at bypassing certain kinds of camouflage too. Which sounds like the two would pair well together in hunting parties.