The paper reviews other papers about various societies and reports the percentage of them in which women hunt in various way (e.g. broken down by size of game). It reports no data on male hunting. So I think it's dishonest of science.org to say the following.

> These data flatly reject a long-standing myth that men hunt, women gather, and that this division runs deep in human history.

It could easily be consistent with these data that men usually hunt much more than women.