Perhaps they have a procedure where if the start was hot, the fuel control selector is placed to cutoff position but the starter is left engaged allowing the engine to continue turning over which blows cooler air through the engine for a longer period of time and reduces temperature.
Might be better than letting the engine sit there with a higher than necessary temperature. On some engines during a turnaround, you may notice how the still warm engine temperature decreases as rpm increases prior to lightoff. So motoring/blowout etc does cool the engine.
However, usually the approved method for a Blowout cycle(as it was called it on one aircraft type) is a separate starter engagement after it having been disengaged.