@dhofert hopefully this doesn't derail the thread but I just wanted to comment on setting expectations for how much one progresses from one of these ski schools.
You're probably a bit ahead of where I was at when I attended 3 days of training at a ski school. Back then I'd never seen a course and was only getting out of the water 75% of the time on starts. It was my first season. I figured after 3 days of dedicated training I'd be smoking passes at 30mph, 15 off, getting into 22off.
This, might be reasonable for where you're at in the learning curve, but I was in for a shock. The first thing my coach did, was slow the boat down, and have me ski in the mini course. Actually, the first few days he had me ignore the course entirely. A truly humbling experience. After 3 days I was still skiing the mini course, and felt arguably more uncomfortable than I did the first day BUT with the knowledge of what I should be doing, and with a strategy of how to get there. I think it's a lot like the first time someone takes golf lessons in that way. One step back ... And then a few steps forward.
1 week seems like a long time, but in reality, with 12 passes in a day, you're still only looking at around ... What ... < 10 minutes? ... of actual ski time each day. That's enough time for your coach to give you some fantastic instruction and feedback, but not much time to actually improve substantially.
All that said, you very well may get into short line in your week there. Others have. But I guess my point in this is that I wouldn't worry too much about chasing balls and improving that count. For me, my pb didn't improve on my final day. I actually couldn't even get my pb. I honestly felt disappointed. But the payoff was huge after the fact. I left the ski school with a bunch of tips and a strategy to get to the next level, and quickly progressed when I returned home and could free ski.
Enjoy!