The first part - I think false reports on domestic violence are statistically similar to false reports of other crimes, and like with others crimes it's assumed the person reporting is telling the truth until there is evidence otherwise. I don't if 'I've never known a case...' is helpful when training others, or can really be assumed unless the person training has a lot more involvement in this than most people do.
The second part about women only reactively abusive in their experience, again, I'm not sure how that is helpful and really as already said it is infantilising and it is essentially doing the opposite of safeguarding as it's encouraging the dropping of vigilance around a group due to a trait.
I mean, what about when women are abusive towards children? I certain grew up with people blaming the kids when a mother got violent, that a mother couldn't really mean that, that the kids just stressed her out -- but we're meant to be better about that now.
Or how about when women are abusive in the workplace or are out in the community? Many of us have seen it. We know women can be violent, we can be abusive, that we're statistically far less likely to murder a male partner doesn't mean other forms of domestic abuse do not occur.
I can honestly say every violent and abusive encounter I've had in my life has been at the hands of a woman - that means fuck and all in training others. We need to believe people who report and look out for the signs regardless of the sex of the person or the sex of the other person.
I'm reminded of a school leaflet on Sexual Harassment and Violence meant to be designed for families that went on about how 'boys suffer this to a far lesser extent'.
Statistically there are fewer reported cases against boys; however no school should have that in a safeguarding leaflet for families. It has no benefit, it comes across that the school is writing for other professionals and not families, that the school may not be paying as much attention about it to the boys, and it can lead to a boy or his family feeling less safe in reporting to the school. We have to consider the impact of the information on the intended audience, not just stats and our experiences.