I didn't say not to reward them with each try they make. I said not to go all petting on them every single time.
the best reward to them is to allow them to just stand, unbothered, for a bit.
you might put your hand or your stick quietly on each time after they've complied, and rub if you are doing something really phyysical on them , like flagging them over in very close quarters , or applying some really big pressure on them if they are dulled out, and you want them to know that the item you are using as a tool on them (which may have been scary to them) is just an item. by rubbing on them after they done what you asked with the tool, you show them that it is your body language INTENTION that was transmitted with the tool, not the tool itslef. so, you are both flagging them big with it, then softly rubbing them with it, with a completely different intention in your body.
I know that Parelli and CA both rub the horse with the stick, after they have applied any kind of real push on it, to kind of 'rub out' the pressure.
I think all that is far from the level you are working at.
my real point is to not overly pet the horse after everything. they don't like it, and it will create a horse that is too close and too muggy on you.