OK - here is my experience:

I did use stock 18" rims all the way around with TPM sensors on the new wheels and snow tires.

When installed, the TPM light was not on and did not come on if I let out some air in one of the tires as a test.

I took it to the dealer, who had to re-link the sensors to the monitor. He had to hook up the computer console to the plug under the dash and go around to each wheel with a round magnet placed on the inflator. The console would beep to indicate that the monitor had received a signal from the sensor. This whole process takes about two minutes.

When I switched back to the Michellins this spring, I had to do the reset again.

So my guess would be that if you put on tires with no sensors, the TPM light will just stay off.

Hope this helps.