We genuinely do get a lot of out-of-area applications, but you may well be the first from Scotland to try!
I'm not totally sure what the extra work is yet since it doesn't begin until after exams, it's a year 13 thing, but I believe it's extra in-depth essays in humanities and assignments, investigations and experiments in sciences. I know the people on the programme take over the physics department one lunchtime each week to tackle extra challenging projects. It's less preparation for university, because you take it in all your subjects, not just the one you're applying for (I think?), and more designed to give an extended and stretched curriculum. The idea is that when you go to interview, you know the A level course inside out, have had significant experience and polishing for the interview itself, and you're able to talk in-depth about topics that most other applicants won't even have heard of, let alone studied, as well as being used to thinking about hard problems and tackling them above and beyond what's expected at A2. Mostly the topics aren't much harder than A level, they're just less well known, and the way they're presented is more challenging.
Oops, I seem to have written an essay
Interesting point about those scholarships - I'll look into it
I can't help wondering, if the SATs are not much more difficult than GCSEs, how are they comparable to A levels?