I didn't study this deeply, but I believe the higher pressure in tires lower the friction with road, i.e. less grip, less work for tire, less heat, and faster top speed at straight.
But also with less grip maybe you are sliding more around, that's the source of additional heat with higher pressure?
At least I know LFS works like this, put higher pressure into tire, and as long as you don't micro-slide, the temp of tire will be lower. Although start to be more aggressive and slide here and there, and you can warm up the tires to/beyond temp of lower pressure tires.
I wonder how good the real race drivers are with controlling those micro-slides, in LFS it's easy to save a replay and analyze afterwards where you are losing grip and how much, but in real life you can't do that in such direct and exact way.
But also with less grip maybe you are sliding more around, that's the source of additional heat with higher pressure?
At least I know LFS works like this, put higher pressure into tire, and as long as you don't micro-slide, the temp of tire will be lower. Although start to be more aggressive and slide here and there, and you can warm up the tires to/beyond temp of lower pressure tires.
I wonder how good the real race drivers are with controlling those micro-slides, in LFS it's easy to save a replay and analyze afterwards where you are losing grip and how much, but in real life you can't do that in such direct and exact way.

Most quick sim racers are good at predicting when oversteer is likely to happen and correcting before they actually detect it 
Soft compound with grooved tyres might still generate heat in a beificial way if the rubber treads are flexing enough to heat the tyre evenly, and in F1 they probably don't want the tyre walls heating alot as that would effect the feel of the car too much.