Maxwell's equations only describe how energy carried out by light or radio waves will behave. They indeed yield correct results, but they are still just equations. Let's face it: James Clerk Maxwell never demonstrated that magnetic and electric fields could really travel through space.

It should be emphasized that scientists still do not understand the true nature of magnetic fields. They ignore what they are made of, and how they work mechanically.

In addition, one simply cannot check whether magnetic fields move through empty space or not because a material device must be used in order to detect them. This device may transform radio waves into electric and magnetic fields as well. 

It is a well known fact that Maxwell firstly imagined a mechanism made of interconnected aether vortices. However, he finally removed carefully any reference to a mechanism. Maxwell just elaborated a set of equations. He did not find what was really going on.

Clearly, his assumption that his equations describe moving electric and magnetic fields is highly disputable. There is a more acceptable possibility: radio waves are aether composite longitudinal waves capable of producing electric and magnetic fields while traveling through matter.

Maxwell was a great scientist. He was well aware that all this was uncertain. He wrote: "The energy in electromagnetic phenomena is mechanical energy". This means that it remains unexplained. However, physicists in radio electricity (especially Lorentz and Poincaré) became very familiar with his equations and finally, they all forgot that it was just a theory.

So there is a place for doubt. Scientists should be ashamed to be so confident, if not arrogant against searchers who still believe in the existence of the aether.