What mindset do eventing horses normally have?
Depends on the horse, really. If you think about it, most upper level horses (prelim, intermediate, advanced) are Thoroughbreds. Fit Thoroughbreds can be quite sensitive and high strung at times. I know when Ace is fit he can definitely a handful when we're jumping. It's all about learning how to channel their energy in a productive way, which can be hard when you have a horse that gets tense in the dressage ring, or one that is spooky on cross country. Lower level horses are a mixed bag, since pretty much any breed/type of horse can compete at the lower levels. You have the calmer, steadier ones, and the more excitable ones. The most important thing, mentally, for an event horse, is just the will and heart to do it.
What kind of training programs are they on?Again, it depends on the horse. For upper level horses, it varies from horse to horse. Generally the heavier horses (warmbloods, Irish Sport Horses, etc.) are on a 10 day schedule. That means they work nine days, then have a day off. If they're getting ready for a major three-day (*/**/***/****) they are doing at least an hour of hacking, 20 minutes or so of trotting out (over terrain, if available), + their 45 minutes-1 hour of work (whether it be flat or jumping). Then one day of those nine they'll do their canter sets. More Thoroughbredy horses that fit up more easily are generally on a 7 day schedule. I know one girl that doesn't even do canter sets often on her Thoroughbred, because he gets super fit just on a 6 day a week schedule with hacks, trot, and regular work.
Lower level horses, again depends on the horse. In my opinion, it's really important to do trot sets (at least once or twice a week) on even Beginner Novice horses. It just helps build cardiovascular health, muscle strength, and it gets them out of the arena. For training level horses (and even some novice level horses) I'd like to see them doing canter sets once a week or so. Training level horses should be doing three 5 minute sets (work up to it, don't start there), and novice horses doing three 4 minute sets (again, work up to it), plus their other rides during the week.
As for Saskatchewan, I can't help you much, lol.