Cited from this article: https://religionnews.com/2017/02/06/5-faith-facts-betsy-devo...
Are you so far inside your bubble that you can't connect conservative values aligned to religious thinking to the conservative push to defund public education benefitting private parochial schools?
You know its funny. I always hear this “folk devil” described regarding the charter school movement, yet my SIL works at a teacher at a charter school that has no religious curriculum. Its oriented to exploring the use of novel teaching methodologies not yet adopted by the public schools and quite successful. Its in a more economically depressed area, which serves the kids in that area quite well and is sought after educational center for parents in that area, because the public school is crap (and was crap before the charters opened). This in large part why charter school initiatives poll well in economically depressed communities.
Do some parochial schools benefit? Sure. Is the charter school movement only for parochial schools? Nope.
Only indirectly. It's about the voucher movement (parochial schools can't be charter schools). The main connection to the charter movement (with regard to support specifically for parochial schools) is that the pro-parochial voucher movement sometimes uses push for charters as an Overton-window shifting technique to break down resistance to public funding of private schools where they can't win outright.
(The voucher and charter movements are more deeply connected through the broader private-for-profit schooling industry and it's lobbying, but that's a different angle than the parochial schooling one, though it connects back because the industry definitely uses the religious community much the same way the auto insurance industry uses MADD.)