Probably explains why some pick it up quite easily and others less so, and sometimes not at all.That's very interesting, I believe that kinaesthetic learners make up a very small proportion of people but maybe as you say they are the ones drawn fly fishing.
I supposes that by default most fly casting tuition is kinaesthetic.
Obviously there has to be an element of visual and auditory teaching in casting. We need to explain the relationship between the rod, reel, line, leader and fly and demonstrate how they all fit together before they get their grubby mitts on it.
They need to learn, within reason, how to stand and how to hold the rod and line and operate those two things to achieve the desired objective which is landing a fly on the water so that a fish can take it.
The more physically-minded often have quite good hand/eye coordination and that helps.
Reading PaulD's description of trying to teach his friend how to shoot reminded me of the most awkward person I ever tried to teach. He announced at the start that he had been fishing for several years for carp on big gravel pits. At first I was not too concerned about this until he got the rod in his hand. He simply could not get the principle that if you want the line, leader and fly to go forwards, first they have to go backwards. This was totally alien to him. His whole fishing life had revolved around punching a heavy lead 150 yards out into a lake, so the rod simple went to the upright position two handed and wallop. The whole concept that one hand manages the rod and the other hand manages the line was meaningless.
It took several glasses of chardonnay that evening to get over it all - and NO, the b*gger didn't give me a tip!