Frank
While Cooling is in dire need of more usefulness this suggestion wouldn't really fit into the area of Cooling apart of the name, but there's good old TE, which also isn't in a strong position amongst our car attributes, ready for it.
To accompany a stat keeping tyres cooler could be tyre suppliers with higher, especially, malus and bonus values, and/or adding suspension suppliers, to allow to row back a bit if the car looks like it's going to be like Mercedes in Monaco.
Maybe instead of this suggestion for both Cooling and reliability it makes your car better than everyone else’s late in the race. Less wear=Faster car.