"The Fair Credit Reporting Act, which governs credit reporting, says that only a state's attorney general can sue a creditor for furnishing inaccurate information. But if the creditor doesn't fix the inaccuracy permanently and in a reasonable time, you can sue, even though the Fair Credit Reporting Act doesn't explicitly give you that option."
The reason that people can sue is on the grounds of the CRA not fixing inaccurate information. The article makes it very clear that the public uses those grounds to sue, not the grounds of providing inaccurate information. So yes you can sue and it happens all the time, people win quite often against the CRA's when they do their homework. Especially effective in a few states like Texas and California where you can also use State level laws in addition to the federal.