Hmm.... well, I'm not an expert on this in
any way shape or form, but I'd theorize that yes, changing the radio
could reduce radiation, though only marginally.
Switching from the stock Alltel radio to the Telus radio improved my signal by about 15 dBm (32 mW) which means my phone is spending less juice trying to find and maintain a signal, meaning less cancer in my face.
Though 32 milliwatts is... well, not much.