If you were really treating women equally to men, you wouldn't follow a "what's good for one is good for the other" policy. You'd accept that the norms and behaviors of each gender should be held in equal regard, and adapt your own behavior to the person or group of people you're talking with. Acknowledging, in other words, that women have as much right to be in the workplace as men, rather than treating their actions as somehow foreign or alien to the "acceptable" male norms.
I mean, your simple and straightforward logic is the logic that four-year-old boys use when they want to punch girls on the playground and don't feel like being courteous.
After all, punching girls is exactly as appropriate as punching guys.
Gender inequality is almost wholly a social problem, not a biological one. And
Yes. A problem where people find it appropriate for women to hug men but not for men to hug women. A problem where people find it appropriate for women to hug women but not for men to hug men. A problem where people find it appropriate to expect men to hug women. A problem where people find it appropriate for boys punching boys but not for boys punching girls.
You can hardly get any more gender-unequal than that.