I don’t have an ASI cooled camera, but with the cooled cameras I have tried, it is possible to switch the cooling off in the control software. The disadvantage of cooling is that it can result in misting or frosting within the camera, especially if it is kept in an observatory at outside humidity. Combatting this can be a bit of a battle, though obviously there are strategies, e.g storing with desiccant, warming before use. I know of no other disadvantages of cooling. In theory a cooled camera should be more sensitive for all exposures, though for the short exposures used in planetary imaging, the benefit is negligible.
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