The Travelocity recording begins by stating "This call may be recorded for quality assurance." That sounds like a grant of permission to record the call. Perhaps Travelocity intended to convey "We may recall the call, but you may not." But that's not what their recording actually said.
I am confident that the OP recorded the call in substantial part to assure, monitor, and record the quality of the service he did or did not receive from Travelocity.