The reality is stranger, and less sexually suggestive, than you might expect: Women tended to look more at the left side of the face.
These habits became such a consistent pattern that researchers could predict the gender of someone based on their eye movements with 80% accuracy. And with a pool of 500 participants, that's not a coincidence.
"Gender-based brain differences must be taken very carefully, as it is difficult to know whether they are innate or shaped by the society," said lead study author Antoine Coutrot, PhD. "However, some differences have been established, for instance in hemispheric dominance during a variety of tasks such as face processing (e.g., women are better at lip reading)."
What he's saying, basically, is that they know there are differences, but given how fraught gender norms can be, it's virtually impossible to say whether women and men are born with different ways of perceiving faces, or they're conditioned by society to perceive faces differently.