True but the two neutralize each other when thinking in terms of a running tally of gender-specific offensive terminology.

> used as an offhand comment usually because it is considered less offensive than other words with the same meaning

the fact that it's considered less offensive simply illustrates a bias towards the acceptance of gender-specific negative remarks or "putdowns" when they're directed away from the feminine and towards the masculine. This goes to my point that actually women do throw a lot of these remarks around but we've just learned to tune them out. If a man makes a 'putdown' remark towards a young lady in class which references the female reproductive anatomy then he's on shaky ground and theoretically could have to worry about a lawsuit, but not the other way around.

> 4. Imagine your daughter or mother being called an "emo bitch" because they reacted angrily to an insult. Would you tell her "well at least they didn't explicitly insult your genitalia?"

I don't know a ton about the word "emo" but I assume it means "overly emotional" and the word "bitch" is a gender-specific word which insinuates that she's not attractive. While I'm sure we both agree that such a rude and insulting phrase is a terrible thing to say to anyone it's still only aimed at the individual.

On the other hand when you use a phallus reference as an implied negative connotation then you've just made a sexist remark because it denigrates an entire gender.

If I had to choose one or the other I'd rather my mother or daughter be exposed to rudeness or insult before obvious yet normalized sexist remarks.