Weezilla - My mistake - QH's seem to come up more than anything else when you do that search and they do have a very different style
A lot of UK show jumpers also do dressage training - but for the most its the basic riding style we start out in anyway if you learn at an approved place and not somewhere you just sit on a horse, kick and steer in a vague direction of where you want to end up. The majority of young riders have a clear grasp of collection by the time they get into the open showjumping ring as they wouldn't go far without it.
I'm still really not sure how the US show classes are judged - is it on the horse/pony or on the rider or both?
We don't have 'Equitation' classes in the UK other than at some local shows we have a thing called "Best Rider' and you can enter on any sort of horse or pony you have and split into Lead rein, Junior and adults
All other show classes are judged on the horse/pony (obviously the better riders will have an advantage)
Show ponies are types based on suitability - lead rein, first ridden and split by height - now in cm. but in riding pony it used to be under 12.2 (lead rein) 12.2, 13.2 & 14.2 with novice classes as well. They are judged on performance and conformation.
Show hunter ponies and Working hunter ponies (over fences) are measured on the 12hh, 13hh, 14hh and 15hh (whatever that is now in cm)
Also judged on suitability (they have to look as if they will do a days hunting), performance and conformation
Then there are the Mountain and Moorland classes & coloured horse and pony classes
I'm sure that Faye
can add more to that list
It does help I think that the UK is such a small country that most people have really easy access to a decent show every weekend and easier access to a bigger range of trainers
Typical show pony type https://www.youtube.com/watch?v=Dc0wHEkTmPY
Show pony in a championship class where winners of all sections compete against each other https://www.youtube.com/watch?v=Dc0wHEkTmPY
UK pony jumping which is also split into height & age categories and goes from the very novice at local show level to the top JA level https://www.youtube.com/watch?v=K52vPvG3GzI
And this is a new class since I had anything to do with kids and jumping ponies which is judged on style and performance to encourage better riding skills in young people https://www.youtube.com/watch?v=CTZX7sFbgdA