I understand you to say that a credit bureau charges to correct erroneous information.
Under the FCRA they are required to provide correct information, by law.
I would not want to represent a credit bureau and say that we charge to correct erroneous information.
Now there may be some charge for expediting what is required in the FCRA and doing it faster, but again, that is a bad practice.
Under Reg. E you may pass the charge along to a customer for an unauthorized claim investigation. But who does it? Why? It has such a negative appearance.
Not the direct answer you asked for, but if they are trying to profit from this, I'd challenge them for unfair practices. They are wrong.
I'd be interested in how much they are charging. And if my customer paid it, I'd classify it as a credit bureau fee and I'd encourage them to request their money back after the deal is done and they are no longer hostages. While I do not advocate legal suits, I'd be close on something like this.
(Getting off soapbox.)
Opinions stated are not necessarily that of my employer.