For phones, and other small devices, it's a reasonable solution due to the current and energy transferred involved. For vehicles though, it does not make sense (imho) considering the currents involved, especially as we're approaching 4C-6C with new battery chemistries and management systems.
Maybe a bit far out there, but wouldn't you be able to make both parts (charger and chargee) water-proof easier if power can be transmitted wirelessly?
Kind of like saying you don't understand why we ever had early keyfobs when you still had to carry a key to start the car. It's not about it being superior in every aspect, it's about ease of use.
You are pulling out every logical fallacy in the book in your approach to this question. EM exposure is rigorously studied and safety standards have existed almost as long as we have known about electromagnetism! About the only time that a normal person even comes close to needing to worry about them is when getting an MRI or climbing a radio tower.
Johnny Mnemonic was a work of fiction, not a documentary.
To be absolutely clear, I'm not convinced low power EM causes problems. I'm also not convinced it doesn't. What I am absolutely certain of is that given the global scope of the industries that are implicated here, there isn't a legislative body on the planet that would so much as inconvenience them if there was a problem and it was know.