My lights are the kit from big bike parts, but the dealer also tested the Honda lights and they did the same thing.
Is the problem present on AM, CB (AM), and FM?
Is it across the frequency spectrum, or on specific or periodic or repeating frequencies?
What do you hear in the audio when the lights are enabled on AM and FM? An increase in white background noise? A specific buzzing or odd sound?
Does it happen when the engine is stopped and running only on the battery?
You mentioned the dealer experienced the same problem with bikes with Honda lights. Did he park your's next to it and listen on yours for any interference from the other bike's lights, or visa versa? If it's on all, forget that test.
There's folks here that have similar lights. Do they have a similar problem?
My 2012's in the shop for warranty work and I don't have running lights yet or I'd contribute to the observations.
Edit: One thing that may help is to pinpoint the noise source(s). Take a portable AM/FM radio, turn it to each mode on low volume on a noisy frequency caused by the lights, then hold it near the lighted fog lights and elsewhere around the bike to find the loudest source. Try it with engine stopped, then again with the engine running. It might make more interfereing noise, or whatever it is you're hearing, next to the lights themselves if they're the problem. It may also be heard near the rear antenna (?), or in the bike's wiring near the relay panel under the seat (?). Not sure. Finding the loudest source should help Honda fix it. If the lights contain a noisy electrical circuit (?) that could be the problem.