In order to see the refraction of light, it has to be reflected through the lense of your eye, where it is focused on the retina.
In the water example, light from the sun travels through space, through atmosphere, and then through a body of water in which you are observing the stick. Refraction is the change in angle of the light beam as it passes from one medium to another. So it must bend on the way in, and on the way out again, as it is reflected off the object you are viewing.
From the LNB's perspective, energy arriving on the dish would be passing through the convex surface of a droplet of water, refracted, then reflected at a different angle off the surface of the dish (concave), then it would have originally, if the droplet would not have been there. With rainx, the droplets formed are very tiny, and roll of the surface quickly, as opposed to large droplets which may stay adhered to the surface of the dish for a relatively much longer time. That's why rainx works so well on a windshield. With the large droplets and no rainx, you can't see very well because the light rays are scattered at many different angles as the are reflected off objects in front of you and refracted through the rain drops. This results in a blurry image in front of you. With rainx, the drops are so minimized as make the water droplets less convex, and the light rays don't refract as much through them, and so you see a clearing picture through your windshield.
Why doesn't the same analogy work on the dish? Light is nearly the same as the energy being broadcast by the satellite, just from a different part of the spectrum. The same effects of refraction and reflection should apply, don't you think?
Also, the parabolic shape of the dish (concave), doesn't buy you anything if the energy is reflects is scattered by the droplets and doesn't focus on the LNB.
I'm not saying this works or it doesn't work, I'm just saying that it seems logical that it might work.