Personally id like a little more choice and specifics for intermediate and advanced lessons. Perhaps its just my local mountains, but it seems lacking in this area.
It seems like a lot of resorts don't do much in the way of private lessons in terms of dialing the lesson to your needs beyond beginners. Often when I sign up for a lesson at the desk or over the phone I say I'm interested in working on this or that and on the advice of staff I've even specified can I get an instrucutor with a specific level of certification.
Then you show up at the meeting point, and there's somebody with a clipboard who might ask you a question or two, and then he looks over at a lineup of instructors and picks one. You have a chat with that person and then off you go, with mixed results. Of course if you find someone you mesh with you can request them going forward, but it's all pretty ad hoc.