Oy, vey, with the hot ones, it’s very individual to the horse… and the level of education you have given it at the time.
My goal is to have the horse know that when I get on (heck, when I pull it out of the stall), it’s Business. So to me, the rider or handler’s job for all of them-- green or made-- is to give the horse some tasks and a job that he can get done and feel secure in, and that you, as a handler/rider/horseman can get him to get done.
My current mare has taught me a lot about how to do this with a horse because she’s sensitive, suspicious and has no filter. Or, rather, that is who she is when she’s off the clock. On the clock, at this point, she’s capable of great focus and she’s beginning to do me favors in the ring; she sometimes gives me better performance than I rode her for.
But it took me a long time. I started with taking her to shows and events and, getting my best horsemanship on, and never, ever skipping a step. So if her first job was to learn how to chill out in a stall at a show, we arrived in the PM, set up and I put her in her stall for the night. I didn’t mean to do it this way, but letting her discover that that 12’ x 12’ space was “the same, always” and had food and water in it, just like other stalls she had been in, worked great!
When we hand walked, she went in a rope halter with a long rope and was expected to keep a loop in the rope. We might do some ground work or we might hand graze, as her mind required. She was allowed to do whatever made her relaxed and focused.
Same for schooling rides and for being long-lined in the corner of a big schooling area or empty arena.
At home, I am also the rider that spends some time allowing a horse to “work through” some tension they might have when they don’t understand a training request. I want them to mentally hang in there so that they learn that the safest place for them to always be is right with their rider. This sounds abstract, but I mention it because I think it goes a long way to teaching a hot horse to keep their focus when they meet the chaos of the horse show.
In short, I look for the horse to be mentally relaxed and able to listen, but also very sure that focusing on their rider is where the peace and safety are. I grew up riding hunters, so sometimes my goal for a horse’s experience is about relaxation. But I have also learned from dressage world (and some Vaquero-style horsemen) how to teach horses focus on a job as a way to help them get out of their emotions. But I change these up based on what the horse is showing me at the time and which one-- the horse given a job to do, or a horse left peacefully alone-- will bring relaxation next.