Frequentist analysis is exactly the wrong approach here, for the same reason that one can't defend a crime by pointing to a much greater number of legal acts.
There are something like ~42000 traffic fatalities in the United States every year, we do not adopt draconian measures in dealing with it, even though loss of life and severe life-altering injuries occur. And such traffic accidents are absolutely devastating for the victims and their families.
Unless the dataset is particularly severely contaminated, the known illegal images should be removed and the rest of it should be allowed to stay up.
Have you considered that maybe you shouldn't?