I wouldn't dispute that there's a very narrow band of temperature differential and air flow rates where the speeded up rate of airflow increases evaporation coo

I wouldn't dispute that there's a very narrow band of temperature differential and air flow rates where the speeded up rate of airflow increases evaporation cooling effects enough to compensate for the faster rate of heat delivery from the air itself. The hotter the air tho, the slower you'd want your fan to be, in this narrow range of conditions.