I've had the same problem on my 09H3. The light will come on and stay for few days, and then it is fine. I have this light come on about once a month. I've been to a dealer and they replaced the tire pressure sensor (the one that is in the wheel instead of regular rubber insert). That did not helped aether. After some time the light started to come on again. I got new tires and keep pressure at about 37psi. Now it is fine. I think the factory recommendation is about 38psi(please correct me if I'm wrong). But the light will come on of the if difference in the tire pressure is by 3 psi from all others. For example if one tire got 34 and other 37, this will set of the light.
TPM system does not do a comparison between sensors to see if a tire is low or not. Each sensor in each tire determines if the tire is low. (There was a system designed to determine if a wheel was low based on a wheel speed comparison with other wheels, however, the Federal government rejected it, and passed the law to require sensors in each tire on the ground.)
Just remember, it is getting colder out and that for each 10 degree drop in ambient air temp you will lose 1 pound of pressure in your tires. Now is the time of the year when someone gets in their vehicle early AM, and the low tire warning comes On, then they drive a few miles and the message goes Off. If a tire drops in pressure (or all tires) the system will state a low tire; however if the message in the DIC is SERV TPM that usually does not note a low tire, it notes a problem is sensed in the system by the BCM. It could be anything from a sensor not sending a signal to the BCM, to an internal circuit.
tire pressure on the tire placard on the B-pillar or at the top of the rocker (driver's door) is 35 psi for 285 tires; not sure about 265 size tires. So, if during the day, the ambient temp is around 80 degrees and you set the cold tire pressure to 35 psi, and during the night it drops to 20 degrees, you will drop approx. 6 psi; thus your low tire pressure warning will come on. Then you drive, tires heats up from friction, internal tire temps go up a few degrees, pressure goes up a few pounds, and warning will turn Off.
Simple fix...add a few pounds of air to each tire.