Re: If the EM sensitivity thing is real..
"I really wonder if it's not possible to design a torch that uses that energy to charge - there's plenty of it in the air there."
Not sure about a torch, but what you describe is how a crystal set radio works. There have been cases of people setting up large induction loops under power lines to steal power, eg in the roof of a barn. Not sure of the details or veracity, I read about it years ago.