The Continental Site says, "This offer is valid on tickets booked and purchased exclusively at continental.com on any published fare on flights operated by either Continental Airlines, Inc., Continental Micronesia, ExpressJet Airlines, Inc. d/b/a Continental Express or Continental Connection. Not valid on itineraries that include code-share flights. Continental Airlines Vacations and continental.com Specials purchases do not qualify for this offer. Published fares are those made generally available to the public by Continental Airlines."

So there should not be a problem with the discount.