I am going to try to fill in some of the gaps.
The inflation pressure of a tire will vary according to the ambient temperature. For a passenger car, it’s close to 1 psi for every 10°F (For other types of tires that use higher pressures, 3% for every 10°F).
So if you are setting the pressure in winter, it is important estimate how cold it is going to get before the next time you check.
So why is inflation pressure important? Heat generation. Needless to say, this isn’t as critical in winter as it is during the summer. - AND - people tend to drive much slower when it’s really cold (Cars don’t like the really cold weather much, either!) Besides, it’s a real pain to check tire pressure when it’s cold.
So I think a practical approach is in order. Measure and correct the pressure when it’s warm - say 50°F. Target for 0°F as the lowest temperature (5 psi over) and don’t worry about it when the temperature gets sub zero. Correct the pressure when it gets warm in the spring. (note: if like me, you live somewhere that doesn’t get to zero very much, then pick an appropriate low temperature as your target.)
Lastly, tire wear is NOT greatly affected by inflation pressure. There are other things that have a greater effect - alignment, for example. Being off 5 psi for the winter is not going to cause a major tire wear problem.