If you are a billing company and you find out .... (possible drama ;-)
 

if you are a billing company and you find out that one of your clients has stolen the website design they are using...
1- do you ignore it because it's none of your business or
2- be concerned, because those who steal most likely would not run an honest affiliate program. Therefore you would be partially responsible for supporting and providing backend services to a fraudulent affiliate program.... hmmmm what do you say?

Alot of billing companies used to process for beastiality. Go figure.

if you are referring to yourself as owning the stolen design, have you considered filing a dmca notice? it would make sense that would be the first step here

btw, no idea what processor/billing company you are referring to

I do not think this is something the billing company should deal with. I am sure that most billing companies have company policies in place for things like this.

let me clarify something.. this affiliate company scammed a designer (not me) and just took all the work he had done for the whole site (the whole layout!)

If you think that the troubles of a small time designer are worthy of a billing company's time, you're sadly mistaken.
you may not like it, but its a fact of life. It's irrelevant to them, as it should be. I certainly don't want my billing company spending money trying to resolve disputes between people that probably won't be here for the long haul anyway.

Billing companies respond to and investigate DMCA claims all of the time. Just as a host would and or anyone else who recieves them.
If someone stole your work or copyright, just send the DMCA filled out properly to the host, the billing companies, the offender, and any one else profiting off of that site or page.