But one could argue that a car that isn't using the pullouts and is going as fast as it can shouldn't be on the Beartooth either. There are faster ways in/out of Yellowstone if you are in a rush.
I've driven it once - in a car in mid September with snow flurries. I was on a cross country drive, but the Beartooth/Chief Joseph leg was an intentional sight seeing detour. I was there to relish the mountain drive and sights.
It's one thing to take the tighter corners a 5-10 mph, another to run the whole grade at that speed.