Really I’m gonna need a source for that old timey radio claim. Because that sounds like it’s made up and even if it’s not, correlation does not mean causation.
There is no known mechanism for non ionizing radiation to have ANY effect on the human body or individual cells besides from a warming effect. And even the warming effect is quite small, there are normally a lot of other factors that have a way bigger effect on the temperature. See the Mythbusters episode where they tried to warm a chicken on a radar emitter. The turning of the radar cooled it down more than any warming from the radar did.
If there is any truth to claims that non ionizing radiation harms humans, physicists would be all over that. That would mean new physics in an area where there hasn’t been any new stuff for a long time now.
But it turns out we understand it pretty well and see no mechanism for any harm to occur. In that context all of the studies that find no relation are meaningful. If there seems to be no relation and there isn’t a mechanism to do anything, why would anybody think there is anything to find? Turns out it always comes down to FUD, to further some kind of an agenda.