The opposite effect I expect should be less for heating, since the heat is constantly leaking out of buildings at some rate back into the environment (insulatio

The opposite effect I expect should be less for heating, since the heat is constantly leaking out of buildings at some rate back into the environment (insulation, double glazing etc. reduces this but all the added heat eventually leaks out), and additional energy is being put in which turns into heat too (e.g. COP 4 means 1 unit heat from electricity and 3 units shifted from the outside environment). So whether there is temporary localised cooling depends on the quality of the insulation but overall and over time there is no cooling due to the additional input.