I'm afraid that you're correct, but I think there is also a "darker" side to it. As the OP mentions, parents involving their kids in CP crosses class barriers and happens in both poor and rich families.

A few weeks ago, I took a primal therapy course, aimed at improving participants self-awareness and quality of life by letting them express pain experienced during childhood trauma. Anyway, the reason I am bringing this up is that some people in this course had childhood stories of abuse that would make anyone puke. And these were all high-income people with good jobs.

I believe all parents try their best, nobody wants to be a bad person. But if your perception of good parenting includes fucking your kids, that can make you do horrible things.