Iirc, your dd is at a private school tonsills - albeit a prestigious one.
Often the private schools don't have the size or numbers to offer a wide range of AHs despite the vast amounts of money paid out
Ds' old school pretty much offered AHs in any subject that pupils wanted to do, having done the linked Higher (although I do know of some pupils who crashed AHs
- ds just crashed a Higher alongside his 2 AHs).
On occasions, the school has collaborated with the local private school to offer a wider range of subjects or to share resources/work together (and no, don't assume it was the state pupils going to the private school
) . Pupils will also go to local colleges if required.
Admittedly, this was/is a large and successful school, with just about all pupils proceeding from S4 to S5 and c80% going on to S6 (over 160 in ds' 6th year) , so it has the numbers to do this. The school also encourages a lot of leadership and extension activities in both S5 and S6, with, for example, large numbers doing Bronze, Silver and Gold Duke of Edinburgh. School isn't just about exam results: it's about developing the right skills fr when you leave school, to be able to cope with work, college or university.
Other Glasgow schools can go to Glasgow Caledonian to do AHs as a "cluster project" (don't know much about it as ds' school wasn't eligible), or will collaborate with neighboroughing schools.
I do agree that this positive experience is very urban-centric and that there are issues with offering an appropriate range of AHs (or even Highers) in less densely populated areas 