Yes, Happy, but since the crew was traveling together, I would assume that they were not deadheading to a destination to commute to work, but to actually see to an already in progress flight that needed a crew due to cancellation of its previous crew. My husband used to commute to his work, but he wouldn't do so with his flight crew - commuters can live anywhere, so the likelihood that all 4 crewmembers just happened to all book last minute to commute to a job is unlikely.
The crew would not be put in the jump seat to go to work on that flight, I believe, due to work rules. There are certain rules in place by the union to ensure crew rest even in the case of needing to be deadheaded to a location to carry on the next flight.