Are “unpublished” hotel reservations too hard to cancel?

Question: I recently tried to book a four-star hotel in New York through Expedia’s unpublished rates section, which doesn’t reveal the name of the hotel until you pay for it. The hotel we ended up with was DoubleTree by Hilton New York Chelsea, which is only listed as a three-star hotel on other popular websites. I understood before calling that Expedia has a no-cancellation policy on the unpublished hotel rates, but I figured if I called right away I might be lucky enough to get it canceled.