As an indigenous Canadian I can confirm this.
Both of my parents were born and raised in the wilderness. I don't mean that they were born in a modern hospital and later raised in the bush. They were born in the 40s in a teepee with the help of traditional midwives.
Dad was a great hunter and trapper and did all the things you could imagine a hunter and gatherer could do.
Mom did the same as well, not as much or as well as dad but good enough to survive on her own or with children. She hunted birds, fished and could bring down gut clean prepare butcher moose, caribou, bear, wolf, lynx and any other large animal if she had to .... when she was a young woman that is. She could also travel, walk, snowshoe, use dog team, paddle a canoe, portage, sail, and survive alone in the bush for weeks or months on her own. In her prime, she was a far better hunter and gatherer than most men I know now including myself.
It only makes sense .... prehistoric hunters and gatherers didn't sit around and relegate women to only do certain things. Everyone no matter what gender had to be capable of doing everything in order to ensure and secure the survival of everyone.