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I would think braking until impact is "proper" thing to do. I would rather impact at 10mph vs. 50mph. With good braking, one can scrub a lot of speed off in a short distance. Go back to your MSF class, where you accelerated to 18mph and stopped within a set of cones 15 feet apart.
But from where I see it, If the bike had enough time to come to a stop while sliding in your students direction. Then it should have been able to come to a stop with the wheels on the ground. I would think tires offer more braking potential than fairings and mirrors.
Having said that, I know there are situations where letting go would be the proper thing to do. I don't want to ride off a cliff. I do applaud your sacrifice for others, but when teaching you can't take anything for granted.
Best of luck to you!
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