I was going to make a snarky comment about some noob waking up a zombie thread. Then I saw TC did it on purpose. So...
I think the ten minute mini lesson is a great idea. It can be really beneficial for the student, getting that one tip that can cause a breakthrough. I think it would definitely get a significant number of people to try lessons who otherwise wouldn't, whether it be due to cost or convenience.
For the resort, at worst the program turns out to be a loss leader. They might not make money on the program itself, but if they can convert it into full lessons sold, that's great. Even if not, getting people to those breakthroughs means they are more likely to enjoy themselves, and more likely to come back and buy a lift ticket next weekend.
The problem I see with the program is the staffing. Mountains are always going to want their best instructors to be in their highest margin product, the private lesson. The best instructors want to be there as well, since requests are generally more lucrative than group lessons or demo lessons. So your best instructors aren't available for these quick lessons. Then you need to make sure your groups are covered. So getting quality instructors on these mini-lessons will be difficult at times.
The best opportunity for it is when you have instructors who are assigned to a few privates throughout the day, and have gaps between their lessons. Such as an instructor who has an 8:30 1 hour private, then a 12:30 1 hour private, and maybe one last private at 3. At that point, you could assign that instructor to mini-lessons from 10-12, then from 1:45-2:45. The only problem with that is you might not be able to offer the product all the time, and you definitely won't be able to offer it during your busiest times, when instructors are all booked solid.