perhaps.
Abuse to innocents is an abhorrent crime and should be pounished most harshly, drawn and 1/4ing would be my decision.
Having said that allow the tables to turn for a moment, the victim is ignorant of why the abuse is occurring and what is sought by the abuser. The victim is almost irresitably drawn to a desire to placate/please the abuser and although ignorant of the term, enters into a kind of psuedo sub space where pain/pleasure are mixed and mingled to the point where all that is craved is the stimulation, there is no difference between pain and pleasure. This is the formula for the creation of a painslut by the way but that is another topic. There are many facets to what constitutes a submissive but for the purposes of your inquiry only two matter
1. the desire to please, deeply ingrained in every submissive, when coupled with a harsh background and deep rooted memories of failing to liove up to expectations the Dominant can tap a near limitless well of controlling excercises. One of my earliest subs was a formner straight A student who had flunked out of college and needed to be 'punished' for her failure. BDSM as therapy
2. the desire to NOT be responsible. This is a theme that runs the entirety of the bdsm spectrum but to painfully simplify it, when a sub is tied or Dominated she surrenders all responisbility and thus achieves total freedom, a return to the helplessness of childhood perhaps or merely a device to surrender all sources of stress, I have met both types, the female lawyer who kneels so as to have absoultely no thought except to accept and serve and the insecure sub who doesn't want to have to decide what to do.
the issue of abuse victims who might become DOM so as to perpetuate abuse also exists, however the BDSM community is very well regulated by tiself and such 'monsters' are quickly detected and dealt with, usually permanently.