I've only read the first page of the thread where everyone answered No, so I'll enter a Minority Report.
If I thought a heavy defeat would contribute to David Moyes departure, my answer would be an unequivocal Yes. As Pogue concisely put it: short term pain, long term gain.
The reason I'm torn is twofold: 1) I've been hoping passionately for United to win every game for the last ten years, so it's difficult to turn that around emotionally. 2) I've got a horrible feeling the Powers are determined to stick with Dave sink or swim, and no amount of bad results, short of a total meltdown, will remove him before next January.