Hunting horses need to be fit enough to be out all day, showjumpers need to be fit enough to warm up then jump a round with oomph. Lots of hacking and faster work with a hunt horse, but showjumper requires far more schooling and athletic exercise as well as hacking for fitness
As said above hunters need lots of slow walking up hills then gradually intoducing trotting lengthening the burst of trot as they get fitter, plenty of roadwork to harden their tendons. Showjumpers need to be supple well schooled and balanced, but fit for fast short bursts of energy.
