Itch.io are seeking out new payment processors who are more comfortable with adult material
(www.rockpapershotgun.com)
What's stoping a group like Collective Shout from then forcing the payment processors to go after whatever web domain registrar they get their name from? Or, assuming they don't use their own hardware, which is extremely likely, that they go after whoever they go through for hosting their website?
As great of an idea as just switching payment processors is, that won't stop those puritanical pricks because they'll just switch targets and get the whole website/service taken down if it means fulfilling their Satan guided goals being done in the name of Jesus.