I highly recommend reading the book "See What You Made Me Do" by Jess Hill. It has a chapter called "When Women Use Violence" where she explores the claims that "women are as bad as men", looking at research carried out dating back to the 1970s. She also says that, over the years, the minimising of women's violence, or denial that it happens at all, has allowed men's rights activists to "fill the void with disinformation".
A pertinent point to make is that, overwhelmingly, men killed by their female partners are violent perpetrators themselves. Quoting a few mentions from the book:
In a review in New South Wales, it found that of 29 men killed by their female partner in the period 2000-2010, 28 had previous for violence.
In Russia 4 out of 5 women convicted for premeditated murder were defending themselves against domestic abuse.
In the 1970s the domestic murder rate in the US for men and women was roughly the same at 1,000 per year. Following the introduction of women's refuges the rate of males killed by females between 1976 and 2002 FELL by 69%, simply because women had the opportunity to escape violence at home that could have led to them killing their partner in self defence.
Her conclusion to the chapter reads:
"Here is the story, simply put. When it comes to family conflict and domestic hostility in heterosexual relationships, women are just as capable of being physically and psychologically abusive, and can cause serious distress and even trauma to their male partners. But when it comes to coercive control - the most dangerous form of domestic abuse, suffered by 60-80% of women who seek help - women make up an extremely small minority of perpetrators.
Domestic abuse IS gendered. In it's most dangerous forms, it is a crime perpetrated by men against women."