I think it’s actually the other way around. Catholic schools were formed to properly catechize Catholic children who were being exposed daily to Protestant theology in public schools. When we were researching homeschooling this topic came up in numerous places.
Which is a whole different issue than the evil Protestants had this plan to de_Catholicize Catholics, and they lost control of it, and it backfired on them, and now they’re paying the price for it, so it’s all THEIR fault.