To respond more fully to your post, as I said above there are are different types of abuse and breaking those down sheds light on male reports of abuse.
1 Situational couple violence - poor conflict resolution, poor communication skills, rows get out of control, they whack each other, drugs or alcohol may be involved. This tends to be a lower level of violence, specific to a situation, tends to be mutual, less frequent, and escalation to serious violence is not common. Not part of a domination pattern of one partner over the other. Situational violence is toxic and harmful, but it’s less likely to end in murder.
2 Intimate terrorism, coercive control - the essence of it is based on pattern of domination/control of one partner over the other. Intimidation, subjugation, humiliation, isolation; verbal, emotional sexual, financial abuse as well as physical. This has more severe physical and psychological effects, and is more likely to end in serious injury or death.
3 Reactive abuse. From dominated partner either in self defence or in frustration/retaliation.
Research from 2014 indicated that around 12-18% of violence in relationships is situational 2-4% is intimate terrorism.
So for male reports of abuse it will either be situational as per 1. or intimate terrorism relationship as per 2. in which they are either a. the victim or b. the aggressor painting the victim as the aggressor, or reporting reactive abuse caused by their coercive control.
When women report violence to the police it is very common for the aggressor to claim to be the victim and counter accuse the victim of violence. This is
because police are obliged to investigate the report and it slows/confuses the case. The police are, in general, wise to this strategy.
As a broad brush - male on female and female on male violence differs in severity, amount & impact. Women experience higher rates of repeated victimisation and are much more likely to be seriously injured.
One study based on the BCS found that over 80% of high frequency repeat victims (over 10 crimes) are women. Another study of 95 recorded cases,
found that men are significantly more likely to be repeat perpetrators and significantly more likely to use threats, physical violence and harassment.
Of the intimate terrorism type, men are certainly less commonly victims than women, as per the death and injury stats. However, a proportion is female on male and there are famous examples such as Alex Skeel.