Answer:
Yes, it's true. But you won't find it in Reg. E. Take a look at Visa's "zero liability" program information here. It's a Visa program requirement, not a Reg. E rule. (Look under the heading "Get Quick Provisional Credit for Fraud Losses")
Because it's a requirement, however, Reg. E requires that you disclose it in some way.
First published on BankersOnline.com 06/21/04