My point is that any sort of radio would be immediately drowned out by the massive amounts of EM interference as soon as you tried to charge.

In fact, professional audio devices often have to take extra precautions to avoid their power cables from becoming accidental antennas; Anyone who used a cheap set of computer speakers back in the 2000’s and 2010’s will know the distinct buzzing pattern that preceded a text message or phone call. That’s because cheap speakers would use unshielded power sources, and simple circuitry which didn’t bother to isolate the amplifier from the power.