Why do you assume that domestic abuse is more often directed at women?
Here is a quote from wikipedia, from a sentence with 3 citations at the end of it:
"there is a large body of cross-cultural evidence that women are subjected to domestic violence significantly more often than men."
https://en.wikipedia.org/wiki/Domestic_violence#Gender_diffe...
Recent studies conclude with a much more equal gender distribution among victims, as OP points out.
"Although some states use the term domestic violence while others use domestic abuse, the terms describe similar conduct."
http://www.criminaldefenselawyer.com/resources/criminal-defe...