The more direct link is the reporting that hit PornHub and there is plenty of info on these religious / 'moral crusader' groups.
The NyTimes link below is opinion but it lays out facts and puts in the context of OF decision. It talks about the original nytimes PornHub op-ed by Kristof and his connections to anti-sex religious groups.
I think the rhetoric these groups use is very similar to the CP-as-an-excuse, but their goal ism't simply to remove illegal content (which everyone agrees is bad). It's to curb porn and sex work in general.
https://newrepublic.com/article/160488/nick-kristof-holy-war... https://www.nytimes.com/2021/08/24/opinion/onlyfans-porn-sex...