Correct. With the Onstar phone, it is Verizon ONLY. No changing that.
The only thing that differs from that is if you add a Bluetooth module to sink your current cell phone to the audio system in some way OR buy an '09 or later which will have Bluetooth on some models. Regardless, the Onstar phone will remain and stick to Verizon.
We have AT&T for cells, but don't mind the Onstar Verizon, just an extra little side thing to have there.