It's definitely true, but in a document linked right from the payment page, it's rather self-serving. Taken in context with the rest of the document and the AP's utter silence on what might possibly count as "fair use" in its eyes, the message it sends is more than just cautious legal advice.

It's tantamount to someone running a protection racket pointing out that you're less likely to get hurt paying his fee than fighting it: He's right, but it doesn't legitimize his demands.