They do, according to the studies I have read. And unlike a lot of studies, that default to male violence in straight cases of domestic violence, a lot of the lesbic cases seem to be tagged as mutual violence.
Don’t know if it is bias on the measuring bodies, since a lot of people claim female on male violence is not a thing, and that the moment a man strikes a woman, no matter the circumstances, it is male on female. Including a case I witnessed, where a female family member attacked her boyfriend with a knife, he disarmed her and since he bruised her while doing so, he was removed from the house and lost custody of his own daughter.
Indoctrination is a very powerful force. I am glad he broke free from some of the chains and saw the error of his ways, but he has a lot of work to do to make amends, especially after being such a hateful asshole for so long, having such reach and such a voice.
Some people manage to break free and it should be celebrated and supported, because often times, especially for teens, trying to break free leads to excommunication, and becoming a pariah, and after your teens, changing becomes way, way harder.
Sincerely, a formerly indoctrinated homophobe, now an atheist, gay and fierce defender of many rights.