Heat of course depends on the ship / build, but on my exploration Asp during my previous trips I never found it necessary to turn off shields - I'd never overheat even when at full scooping rate range topping up from drained tank to the max. I honestly think people turning off a bunch of stuff was more for RP reasons than actual tangible benefits, at least on ships built with exploration in mind that already handle heat pretty well, such as the DBE, Asp and even the Anaconda. Only reason I ever turned them off on the Asp was to free up power for the AFMU when field repairs were needed.
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