It'd be even safer if we removed the radio all together, and banned any physical controls that aren't on the steering wheel (to ensure you don't have to take your hand off the wheel to use them).
Why do we only care about public safety in one circumstance but not the other?
Outside of armchair theorists online, I'm not convinced anyone in charge of car design actually cares about car safety at all.
Car accidents are the leading cause of death for people age 15-29 and the second leading cause of death for people age 5-14. Nearly 3,300 people die every day in car accidents, and double that number are permanently disabled.
If people actually cared about car safety, it feels like these numbers would have gone down in the last 30 years. They haven't. [1]
My hope is that driverless cars end up solving this faster than we otherwise could politically, but obviously that may be a bit ambitious.
But those, too, could be controlled by physical buttons on the steering wheel and/or voice commands.