No. Think about it. The head wants to go upwards to release the pressure of the screws holding it on. There are 4 screws(for arguments sake) each holding 1/4 of the pressure. Now take 3 away, where does that pressure have left to go? All to one screw, thus making it even harder to take off. Unless you have a lot of room between the sleeve and the part on the head that goes into the sleeve, which is a different issue, but in that case it would work.

Maybe I'm way off, but this just seems like common sense. But I could be wrong, I have been awake WAY too long And I know for a fact if you take off all but one lug nut on a car tire, it's a beotch to get that last one off, it's the same principal.