It's also not totally clear what the disadvantages of private prisons are, versus overcrowded public prisons. Whatever the case, it's almost certainly true that it's a subset of the 6% of inmates in private prisons who are harmed by prison privatization.

(I have no idea what I think about private prisons. I do not automatically assume that systems controlled by corporations are worse than those controlled by government bureaucracies. Public or private, US prison sentences are far too long for most crimes.)