I've never seen saddleseat. Only videos, and none of them were shot in Aus.
The one I'm thinking of had a palomino stallion too, but the pally has sadly passed away. Some bay and chestnut mares, her only non-solid is her stud [and his foals]. The name of her farm is Black Orchid Stud.
I've seen an ASB gelding as cheap as $3k and he was quite lovely but too small for me, I like tall horses and that one was only 14.2. Saddlebreds here get used as pleasure horses, dressage horses, and eventers, and are shown in-hand in "any other registered breed" classes... not enough of them to make their own specific class. They're rare here which ups the price but not the flavour of the month so not as pricey as a warmblood of the same quality.