Personally i think it's a mistake to look at hunter gatherer societies, and try and make some extrapolation to how leadership of that would translate to an agrarian or industrial society, they're apples and oranges.
It isn't so much that it would directly translate so much that the affect is so all encompassing that it is unfathomable.
Since those traits are universal to all hunter-gatherers, as far as I can tell, I'd say it's not some specific thing about female leadership, as much as it's the only model that works for hunter-gatherers. They're totally non-hierarchical, not merit-driven, no concept of personal wealth or even personal belongings, and they only exist in groups small enough that everyone knows everyone else by name.
It's "decision making by group consensus" of a very small group, rather than "better leadership". That doesn't translate to "females make better leaders" because by their standards, there are no set leaders.
http://www.psychologytoday.com/blog/freedom-learn/201105/how-hunter-gatherers-maintained-their-egalitarian-waysNote the difference between primitive farmers and hunter gatherers. In primitive farming communities you're right to say "the men go out hunting and the women
stay home to take care of the children", thus you can characterize the women as the glue who hold everything together in a social sense.
But that's not the case in true hunter-gatherer societies, which are mobile, not sedentary: everyone has an equal say, everyone works together. That's why this statement:
(because SOMEONE had to take care of everyone left behind... and it wasn't a guy).
is plain wrong when associated with hunter-gatherers. These are mobile groups: "left behind" where exactly? According to the article I linked, hunter-gatherer children are basically left alone to do their own thing, rather than the type of "mothering" we know: so the idea that hunter-gatherer women spend all their time caretaking is just wrong, and a projecting from our own society.