There's reasonably good evidence to suggest that the first radio was invented before there was widespread acceptance of these so-called "waves" that Maxwell's ridiculous maths seemed to predict - before either Hertz or Lodge had managed to prove that they were anything other than artifacts of Maxwell's electromagnetic model. A certain David Hughes demonstrated transmission over a distance, but it was just written off as induction. And one could even presume that radio would have been inevitable, even without a preexisting theory of it, based entirely on barometers lighting up in thunderstorms; it only needed Volta's pile or a simple generator - some source of current on demand - and some experimentation with electricity before the phenomenon was noted and then deliberately employed.