I understand what you mean about it going "both ways", but I think both are gendered insults and both should be avoided. Just because you CAN be gendered against either men or women doesn't mean it's okay.
I also think some users may come here from certain districts that aren't necessarily big on not being gendered or sexist or ableist. I know personally I come from an area in Central Texas where saying "you guys" is just part of the norm, but over time I've made the mistake of saying that to a male/female team and learned how it is gendered and learned to actively try to avoid saying it. I think we as a community should try to help tell the person why what they're doing is bad; typically I may see someone say something gendered or ableist and just be downvoted into oblivion while being called a bunch of names, which probably just causes them to leave with a sour taste in their mouth and isn't really effective. Just a pet peeve I've noticed.
To answer your question g55 you may want to email your coaches and see if they remember the sources, I'm sure they'd be happy to help you and would be happy knowing you're working during the summer. Here's an anti-spreading kritik I found online that you may be able to read and learn from so you can better be ready to answer your opponents: (Edited because I forgot to attach the file)