The problem is the OnStar module is integrated into the car so much that you cannot simply remove the module, which is easily accessible behind the glove box by the way, because the car won't run without it.
I have not verified this personally but all you have to do is unplug the couple of connectors going into the module and try to start your car.
I remember seeing some speculation that this might be the case, but later I saw posts where a guy had done it, and apparently had no problems.
I can't say I have verified this either way.
Perhaps both sides are correct, maybe the module itself can't be removed, but the antenna can be, which effectively prevents the module from communicating with Onstar?
If this latter is correct, it should still take care of the "I can't be too close to a transmitter" complaint.
And while my initial reaction to this thread was one of disbelief, I do see how it is at least theoretically possible that there's a difference between the strength of radio waves just wandering around ambient in the environment and in how strong they are in the immediate vicinity of a transmitter.
Removing the installed radio seems a bit drastic, does it actually transmit anything, or just receive? Bluetooth can be shut off via software, AFAIK, so the principle complaints would be the onstar phone and the emergency system, both of which would, I would think, be easy to defeat by removing their access to the antenna.