[1] https://www.wbs-law.de/datenschutz/unternehmen-darf-nicht-mi...
And I suppose that the effect you describe results from abusive requests from charge backs. I doubt you will be refused a mortgaged because you were a victim of theft in the past...
Don't be so certain about this. The credit reporting agencies are evil, nasty blackboxes and it is not transparent how your score is influenced, even by fraudulent stuff.
Additionally, you can and should file a police report for fraud when hit with such a scheme, it makes dealing with your card-issuing bank and the CRAs so much easier.
The bank went from "we won't help you" to "oh, we'll fix that" about as soon as I told them I had a crime reference number...
I guess this has something to do with the penalties for making a false police report being much higher (in criminal law terms) than lying to a bank.