Feel free to climb into an industrial microwave any time you like mate, and rid us of your stupidity. Or stand next to a giant IR, UV or gamma wave emitter. Even sunlight has a very well known, strongly correlated health risk - skin cancer.
All of the EM spectrum has known health risks, and sure, radio waves are non-ionising, so you're in luck, this probably isn't going to directly give you cancer, but there is a massive difference in power needed to transmit a message, and the power needed to charge a phone, or a laptop. Last I checked my MacBook charger puts out 65W: jump on a treadmill and see how much power that really is, then image a fraction of that being absorbed by your body 24/7, 365 days a year, when charging, say, the watch on your wrist, the phone in your pocket, the laptop in front of you, and the glasses on your face.
I'm not saying that he's right, but don't mock his caution because you completed a science class at school that taught you that visible light is part of the EM spectrum, because you can be damn sure that the last people who are going to deeply investigate health issues are the ones who plan on profiting from this technology.