Murder is mostly a very messy business. Every now and then some wacko will hold his girlfriend hostage in the house or shoot her at her place of employment. Front page news. But in the other 99% of the cases, there is a mess of mutual combat, he said, she said, third party actors, and coincidence. None of it is in the statistic that reports that murder.
Yes, that's called a woman fighting for her life. If he is killing her because she rejected him or left him, I don't understand you trying to somehow spread the blame to her.