This discussion illustrates beautifully the problem with technical attributes. The subject at hand is dust covers. But it could just as easily be amplifier watts (is it better to have more or less?), speaker cables (is it better to have silver or copper?), or any of a hundred other technical items.
Everybody wants a simple answer when the truth is there are no simple answers. Its better off, probably, unless its a table designed to be better with it on and down, in which case it should probably be on and down. Probably. The only thing we know for sure is which way it sounds better determines which way it goes- and not the other way around. So once again might as well just cut out the middle man. Go and listen. You will see.