But more importantly 2: The issue here is that we tend to reduce these things down to an all-or-nothing statement. That either men hunted and women gathered or that men and women hunted and gathered, perhaps even equally.
Virtually no modern hunter-gatherers have a predominantly female-led hunting culture, though one could argue that perhaps it's just that times and conditions have changed and that there are far fewer hunter-gatherers than ever.
See, what I think is more likely is that there is and have always been four major gender expressions among humans— masculine male, feminine male, masculine female, and feminine female, with all the rest being peripheral at best. In our ideal binary view of things, we only recognize masculine males and feminine females as representatives of their sex and try desperately to force feminine males and masculine females into their preassigned roles. This never works: there's been gay & effeminate men and Butch/warrioress women as far back as the Sumerians just in terms of pure history, let alone prehistory. When it comes to women, due to them being weaker and smaller than men on average, we outright presume that they have no physical force or aggressive will on principle. Whenever they do, it's always seen as inferior to the male spirit at best and an aberration to be corrected more usually. This also scrubs away any exceptions— that there might be exceptional women of a masculine gender orientation who are just as fueled by a violent warrior spirit, seek to hunt, and prove themselves to at least some baseline on par with men. In terms of societal ideals, these are not valued at all, but statistics say we'll see these types sooner or later. Given the length of human history and the number of humans to have gone before us, it seems silly to say that's not what these instances are.
I am reminded of instances where women posed as men and carried on quite successfully in physically demanding roles. Only to be discovered after they died that they were indeed women.
The other possibility that occurred to me when I first read the article is that hunting may have been carried out in a cooperative manner, in which case women may have played a supporting role - carrying weapons, helping to form hunting strategies, startling prey into ambush, etc. Admittedly, probably not a whole lot of evidence for that in today's hunter gatherer societies.