There's another little way to cadge a free lesson.
I was on one of the big resorts early in my ski career and it was closing time. I was taking my time getting down the mountain, on a trail far too advanced for me, and ski patrol wanted to clear it and found me taking my time going down. One of the big mountains.
So, all the way down, I had a little voice in my ear telling me where to put my weight, how much edge etc instant feedback, little more little less and I got the feel.
Once I got the feeling of what it was like to ski exactly correctly, it became much easier to narrow the difference between where I was and where I should be. The feel also becomes really important when you can't see your skis.