I looked at the wire schematic for the heated steering wheel. A few things I saw was the heated steering wheel module does not have any data circuit to communicate with other modules, It seem as the it only needs power and ground, Does your bolt have a 30amp fuse in the underhood fuse block location F31um , have a 7.5 amp fuse in the instrument fuse block location F26DA , does the new steering wheel have the heater module in the bottom spoke? Is there a violet with green wire in one of the lower corners of the steering wheel air bag roll connector?
If the fuses are present then it is likely that all it needs to work is the correct air bag connector.