Our LTS program includes an 'axel plus' class. This is for kids who have passed all the freeskate levels. Right now, they are mostly working higher doubles (loop, flip, lutz) as they are more advanced then when the class started, but it started with kids who just got axels.
We also have "specialty" which is basically one coach's students all as a group class. They are mixed from like Basic 4 to well beyond any freeskate level (working on intermediate moves, maybe pre-juv free? at the high end) This is where most of the ISI practice happens. I imagine the coach loses a lot of money doing it this way (since he just gets paid by LTS) but it is a great deal for the kids, and it keeps them in private lessons too, so it works.
Our LTS sessions include 8 skate passes, and if you are in a freestyle or axel-plus level, you can use those on freestyle instead of public.
We don't have any special spin classes though.
Probably 80% of our freestyle skaters are also still in the LTS program, mostly because the practice ice makes it such a good deal.
My question to coaches about the class that inspired this thread- is it good to dedicate a half hour every week to just one jump? It seems like a skater would benefit more if more than just an axel was worked on. Or maybe these kids all take lots of other lessons too.