And it's usually recognized that 1,000hz is the bare minimum to spare sensitive individuals from symptoms, with 2,500 usually used for safety margin. Then you have to account for some jitter in the synchronized network so you're looking at at best a 1/5,000 exposure.
Is that sufficient to be worth the trouble?
Regardless, I agree with your larger point that the proposed system would be entirely impractical!
But then you can get capacitors or inductors emitting a very annoying 10 kHz whine. There are higher end LEDs for various commercial uses that use PWM at over 20 kHz to avoid that.
I was disappointed that the article didn't mention this, especially because they did mention sodium, but only as a pretty color.