Depends on if the film is rubbing on anything. If every one of the rollers is moving, the film is not touching anything but the rollers between projectors, and there is nothing in the gate to scratch the film, it should be as good on the last run as it is on the first.

Problem is that this is in an ideal world, which seldom exists. My guess is that since the film is running close to the carpeted floor where people walk, some amount of static electricity is building up on the print from the friction this whole process entails. Because of this, the film may be attracting dust particles that are benign on the film-- until they reach the projector gate, where they can coagulate and become destructive to the print. Also, I don't know what effect this is having on the projector's motors. My guess is minimal, but the torque from each projector I would imagine is exponential. As the guy in the video suggests, if the film is even a second off between projectors, the results could be disastrous.

But back to Dark Sky-- judging from what we've seen, this doesn't seem to be benefiting anyone. If you like open matte or wide-screen, it doesn't matter. What is being presented is inaccurate to both.