This is a problem just for enthusiast league where you get a few guys benching with chillers,water plus ice,outside at -20 etc.
If it was up to me,for this league only i would allow any cooling as long as you don't go under 0 degrees in idle.
It shouldn't be difficult to integrate a temperature monitoring (in a wrapper like for uningine or aquamark) for the whole duration of the benchmark (xtu).
This will solve many problems,and no,living in Alaska and benching with the rig outside at -40 degrees it's not the same as living in Cyprus and having an ambient over 5 degrees no matter what day ,hour or season (or +50 ) .
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