Induction not the End-All, Be-All Some May Think
I, too, have one of those induction powered toothbrushes, and it's great.
Except that when it sits atop a clock radio I also keep sinkside, the reception is impossible unless I move it to a very particular spot.
Why? As earlier posters surmise, it creates a time-varying magnetic field (60 North, 60 South per second) to transfer the energy to the rechargable battery. Those fields are great for erasing floppies, and could also be a concern if you were to place your miscellaneous thumb drives, SD chips, etc on the chargerbase while it was on. Your average headphone cord would probably do a decent job of at least picking up the hum, too.
That's to recharge a battery for 5 minutes of wiggling in each 24 hours, not much energy/hour of charging. You certainly wouldn't want it strong enough to work a couple of feet away, and probably want it to detect whether the target iPhone is present before it starts humming away, too. I'm no Luddite, but more than a few inches of range and you'll start hearing scaremongering about brain tumors, etc. Nobody needs that, either.
I'd imagine that people would want to listen or even talk while the phone is on the charger, so the expected hum, as well as the potential noise/hiss of data going across, would have to be pretty carefully filtered. If this is so great, look for it on the next-gen nano, a perfect place to try out a great idea that might need some fine-tuning.