I wouldn't say I'm Type A, and I have no interest in losing on purpose because...it's a game. I realize there are larger personnel strategies at work, but the other thing is that I think it's much more important to make the right pick with the pick you have--because draft history is littered with bad picks in the top 5.
Also, if you lose on purpose you are screwing with your overall mentality, IMO. To use the same old examples, I don't think the Steelers and Patriots would lose on purpose for a pick. Hell, the Pats would probably trade down anyway.