excellent point lol. i think everyone is overthinking this subject instead of thinking locigally.
I may be overthinking it, but...
You seem to be thinking of the heat transfer through the mode of conduction, which would be more time dependent.
In reality, it is more likely forced convection driven. Basically air driven through a hot pipe, which is transferring heat to the flow.
Q = h A dT where Q is net energy, h is heat transfer coefficient, A is surface area, dT is difference in temperatures.
For forced convection internal flow, h = (k/dh) 0.023 Re^0.8 Pr
k is thermal conductivity of fluid (air), dh is hydraulic diameter, , Pr
is Prandtl number, and Re is Reynolds number.
Re = (pVd/u) where p is density, V is mean velocity, d is diameter, u is viscosity.
So if you wade through all that nonsense, net energy transfer is proportional to velocity. The faster the air moves, the more heat it actually transfers.