You are right Lemongrove, it really doesn't matter whether or not a PM can use a mop (their toxic side-kicks or the Civil Service usually get left with clearing up their messes, anyway).
However, it does matter that they should have some, any, positive talent which is relevant to holding the highest elected office in the land. I would exclude buffoonery, smutty and offensive insults, mendacity, reckless procreation and zip-wire hanging from any list of positive talents.
Strong leader and gumption to make a decision are not in themselves positive qualities, as Urmstongran seems to suggest, unless qualifying adjectives are applied, such as 'good' 'well-informed', 'appropriate' etc. After all, we wouldn't want a leader to lead us strongly and decisively over the edge of a cliff, would we?