That's about Visa, MasterCard, and PornHub. This thread is about OnlyFans and _banks_, not payment processors. Are banks swayed by religious groups to block payments related to adult materials?
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.
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.
The original PH article was opinion as well. There are a ton of sources if you care to google, i included the recent NyTimes piece because it does list specific sources.