Steven Shelikoff wrote:

The wheel.

The area of the wheel exposed to the gas is so small compared to the
area of the tire producing the heat that I doubt it has much of any
practical value in dissipation of heat above and beyond air flow over
and radiation from the tire itself.

Though it doesn't apply much to boat trailer tires, the heat
conductivity of the gas would work against tire cooling in the case of
race cars and aircraft since it would serve to increase the rate of tire
heating in heavy brake application. Many aircraft tire failures are due
to overheated brakes, heating the wheels to the point of causing the
tires to blow out or burn, not from heat generated by the tires themselves.

Rick