If you really don't want to read them, maybe read the short Wikipedia excerpt https://en.wikipedia.org/wiki/Exodus_Cry#Traffickinghub_camp...
Edit: Also even for PornHub, it is alleged that Nicholas Kristof's actions [1] had an important impact on the decisions surrounding PornHub, and Kristof is a self-described progressive who doesn't seem to act on religious grounds, so I don't really see sufficient evidence that religious groups play a significant role at all.
[1] https://en.wikipedia.org/wiki/Nicholas_Kristof#Child_pornogr...
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...