Incorrect. There are no serious consequences for the victims of credit card fraud (unless you consider the victims to be the merchants).
When fraud takes place, the credit card company removes the bill from your statement. Then they take the money back that they sent to the merchant. The merchant is left holding the bag. Whatever they sold is now gone, and they have no money to cover the cost of that good. The merchants bear the entire risk of credit card fraud.
This is why it makes no sense that credit card companies even threaten to charge merchants higher rates if they have more fraud. Merchants with high chargebacks get beaten down in multiple ways. First there's a chargeback fee. Then they raise your processing rates. AND you still lose out on your goods that were stolen.
(Technically I suppose if the fraud is big enough, the merchant could be insolvent in which case the credit card companies bear the burden, but this is certainly an exception).