It would focus the ultrasound from a whistle into a focussed beam, resulting in much higher sound pressure level at a distant point. The wavelength of 22 KHz sound is about 0.6 inches while Ku band satellite signals have a wavelength of about 1 inch -- so this dish would be highly directional with ultrasound. The beamwidth would (theoretically) be about one degree, making a "spot" of about 21" dia at 100 feet.
It might be a little tricky finding the focal point of a dish, though. A simple horn would probably work just fine and it'd be easy to make.
Another possibility might be the reflector from a large flashlight/lantern. A 6" dia parabolic reflector would have a beamwidth of about 6 degrees and it'd be a lot easier to work with. Neat thing about Hartmann whistles is that they are quite small at ultrasonic frequencies, and cost about nothing to make on a lathe.
Please keep us posted if you do this. I never did. Started to twice and the offending dog and owners moved both times. Maybe you don't actually have to build it, just start to and they'll move!