I don't think flying would save much time. They'd have to assemble at the airport. Go through some sort of airport security. Board the plane. Sit on the runway until they are allowed to take off. After landing, sit for a while. Get in a bus to go to the hotel, etc.
Now I figure they are in a private jet, so there's no waiting at the terminal or for the bags, and the flight itself is certainly shorter than the bus ride. But when you add it all up, stadium to hotel I would guess there isn't more than 30 minutes difference in the time spent traveling. Maybe less.