I think it’s more innate in some of them but it also takes consistent and tactful riding in my experience.
One component is accurate riding but being sure to soften before the jump. With a green horse who may not be that balanced on the hind legs or super straight or easy to keep in the rhythm, you may need to manage the horse all the way there. But whenever possible, reward the right thing before takeoff. And no grabby hands on landing even with one who gets quick at first. Some horses see jumping as fun. Others see it maybe as more “work”. You have to sometimes manufacture places to be soft and to give just like with any other exercise. The more you can reward in a way that allows the horse to do the job softly, that will carry over when the in between rideability part improves. The horse might make mistakes (too slow to respond to a move up cue, trouble shortening or rocking back, drifting to the side) that makes the distances less than ideal, but abandoning it to bad distances frequently so they can just “figure it out” is a recipe for confidence issues, and lack of confidence is not a quality of a seeing eye dog horse. On occasion, it’s a schooling moment for their mistake, but more often than not the green horse sees it as your mistake, because if they really understood the importance of pace, straightness and balance, they’d be doing it like a broke horse already. A more experienced horse also needs support at the jump if the rider has screwed up and gotten to the bad distance because the rider did not properly manage pace and track. “Lying” to the horse enough creates a stop or a crash.
But you can go overboard with always placing the horse exactly where you want. Do not hold the horse too round that he can’t look up and ahead at the top rail. Do not always be exacting with where his feet are once he can carry himself a bit. I think this is where a little bit of hunter rider style can be super beneficial, especially to ones that were only pro rides over in Europe. When the horse comes out of the corner and looks up and ahead at the jump, then you can get the feeling of mutually seeing / hunting the distance. This is a great feeling.
I think these things in combination, once the horse is well broke meaning can be ridden precisely on a track and is really good at going forward and back, lengthening and shortening, and has good self carriage, the horse has the experience and the balance to cover up some less than perfect distances. Perhaps he knows when to tune out a rider who is clearly wrong. But there is a limit to that based on the scope and rangy-ness of the horse (basic athleticism) as to how nice the picture will be while the horse is saving the day.