It shouldn't. As I mentioned, outside air pressure is pretty much fixed. There's a bit of variation but almost none. None big enough to be significant compared to tire pressure.

Humidity within the tire matters when it's inflated. A tire inflated with hot and humid air will lose a lot of pressure as it cools, but a tire inflated with cold and dry air will not gain nearly as much pressure as it heats up. This is because the amount of air and water in the tire is fixed, but the water may expand or contract quite a bit with temperature. The outside humidity once the tire is sealed makes no difference.