I don't know why this is for sure, but from practical experience in standard cars and from spending time in the paddock with race cars, typically, high pressure=a hotter tire in a shorter time. Lower pressures=a tire that takes longer to heat up and get "to pressure and temperature".
For qualifying and short stints, tire pressures are typically higher than you would set for a long stint. For hot days, tire pressures are generally lower than you would set for cool days.
LFS seems to have it backwards in practice. We always go out with low pressure for qualifying and hot laps and use high pressure for long stints. We get more grip from lower pressures, but suffer from over heated tires in a hurry. If we exclude major tire spin or sliding, then this seems a bit backwards.
Real tires have an optimum temperature and pressure where they work best. This will also be dependent on the car, the suspension type and track type. In LFS, this optimal setting seems a bit hard to come by.
Could it be that there is a lot of heat transfer going on between the tire surface and the air in the tires? At low pressures, the air inside the tire can take a lot of heat because it has the room to expand? Once to pressure, the air can't take much if any more heat from the tire so there is no more "heat sink" to use?