The counter argument is not to completely refute that hormones and biology play a role in human behavior, but instead to argue the role is so minimal, that for all pragmatic purposes it can be regarded as inconsequential. Any behavioral differences among genders are classed as socially constructed; an invention of cultural programming.
In refutation of existing contradictory scientific evidence, it is argued that to remove existing cultural and societal programming during academic research is very difficult, and existing efforts have unsuccessfully removed such bias.
Tricker et al (1996) tested the effect of elevating testosterone and it's impact on aggression in males. In a double-blind experiment no significant difference was found in aggression between the control group and those with elevated testosterone.
A meta-analysis of 76 published papers found no difference in the hippocampus size variations among different genders.
Lifestyle factors and long-term daily habits impact brain size and functional connectivity more than whether you are male or female.