There's a difference between processor and originating bank. There are many processors, but each card has a single originating bank. The processors themselves only know a fraction of the attempts.
Processors with good systems underneath might make this harder to do though: For instance, a processor might decline because the ip making this request is suspicious. Websites that use really big processors underneath might have more information on the card colder than you'd think, and be able to see something close to the originating bank.
There's a constant war between fraudsters of different kind and credit card processors. The attacks what were profitable 3 years ago don't work today at all: This is why a lot of fraud today involves large fraud 'companies', that will use their tools for you in exchange for something: from BTC to merchant accounts to believable credentials.