If I used the same metrics that are used to get the "XX% of women are domestically abused!!!!!" talking points, I myself would be a victim of domestic violence, but I am not.
Reasonable estimates of what percent of women who have been victims of what is normally thought of when the phrase "Domestic Violence" is used, stuff worth doing something about --not being pushed out the way once in your life--, is very small and not more than a few percentage points.
See
Johnson, M. (1995). "Patriarchal Terrorism and Common Couple Violence: Two Forms of Violence against Women". Journal of Marriage and the Family, Vol. 57, No. 2 (May, 1995), pp. 283-294.
No, we take their experiences as fact.
It is not clear, though, why we must automatically take their interpretation of the policy relevance of their experiences as fact.
Well, no.
If someone says "Joe did bad things X, Y, and Z to me because he plays violent video games," we can take it as true that X, Y, and Z actually happened without thereby agreeing that video games have anything to do with it. Being unconvinced of the conclusion (or even rejecting it) does not license us to disregard the evidence of that person's experience.
See also Qiaochu_Yuan's comment here: