First of all, that horse is so bred for dressage it's not even funny. It can probably jump but I doubt it's all that pretty and the horse might not even stay sound. Also, because it is Dutch (and I hate to stereotype because my mum has the loveliest Dutch horse ever and he is such a sweety) I would want to see competition results to prove that it is rideable, at least by someone, before I would breed to it.
My hunch is that the girl can't ride it, and it won't "behave" doing dressage so they point it at a fence and it doesn't matter if the thing bucks or if the girl can't get it round.
Yes genes are very important and researching how bloodlines mix is a profession all its own, but if the horse is so unridable that you can't even get it through a dressage test, or so unsound that it won't make it to the Grand Prix, then what is the point of breeding it?