There is huge variability in the type of horse people want. Good, experienced riders go from preferring ponies to fleet little thoroughbreds to big draft horses. One veteran told me recently that he likes to hunt old horses.
So it is not about skill necessarily. People just seem to have their preference and they stick with it. Many say they will ONLY hunt a tb; others say they will never.
I have hunted every sort, including ponies, draft crosses, thoroughbreds, and I think that I just like a fast and obedient horse that is a super jumper, regardless of type. That being said, I prefer to hunt big horses, as in 16.2 or taller, for some odd reason. Odd because I have often swayed toward horses under 16.2 in eventing.
I may be about to buy a hunt horse (jumping in with both feet here) and he is 17 hds and a lighter draft x. I just felt secure and comfortable on this lad. I plan to hunt him next Saturday with ODH, provided we don’t get rained out.