Your suspicions would be wrong. I put the original tires back on and stored the car for the winter. I replaced the tires the next spring, and I run them to this date.
The light came on a few times over the years when the pressure was a little low and it became cold. This spring the light came on with the correct pressure in each tire and I personally disconnected the TPMS module as per the thread by Rudy which by now is all over this forum and FakeBook as you say.