It is normal for the light to go on when the air temp goes down, it means you need to add air. Lower temp = lower pressure, it is physics. Typically tires will loose a psi or two every month and need a bit of air every few months. The tolerance on the sensors is generally around 10PSI so it'll take a few months for it to warn you of low air. If the temp suddenly drops 20 degrees or more overnight you are going to loose a couple more PSI even though no actual air leaked out overnight and the light will come on.
I'm in the Northeast, I have a second vehicle I haven't driven in 2 months. Sunday afternoon I moved it to rotate the fleet and drive it for the week, it was about 60F. Monday morning it was 25F and when I started it up sure enough, the tire light came on. The tires take 34 PSI and when I went to fill then they were at 26 - fill to 34
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I'm in the Northeast, I have a second vehicle I haven't driven in 2 months. Sunday afternoon I moved it to rotate the fleet and drive it for the week, it was about 60F. Monday morning it was 25F and when I started it up sure enough, the tire light came on. The tires take 34 PSI and when I went to fill then they were at 26 - fill to 34