Some humans were or are hunter-gatherers. This doesn't imply a specific societal model like the one you describe above.
The "man the hunter hypothesis" is just a product of the eurocentric narrative (hierarchical, patriarchal, colonialist to name a few of its characteristics). As it is mentioned in the article:
...the idea that all hunters were male has been bolstered by studies of the few present-day groups of hunter gatherers such as the Hadza of Tanzania and San of southern Africa.
To my understanding, reality has been much more nuanced than the "man the hunter hypothesis".
In different times and different geographical places some hunter-gatherers were hierarchical, some egalitarian, some changed depending on the season, some changed because of colonialism, some were matrilineal, some matriarchal, some patriarchal or a combination of those. And as some say, change is the constant.
I hope these shed some light on this conversation.