If not shallower, girls tend to lie a lot @girlslie
When people say shallow in this context it usually means only being interested in appearances or simple direct gratification. By that definition I'd say women are less shallow but really it's not a good way to look at the whole situation.
People have instincts about attraction and they have conditioning from their experiences. Women's instincts are more complex and contradictory and their experiences generally leave them even more conflicted and confused.
So if would be more correct to just say women are more complicated, men are simpler.