2002's loss to the Texans was bad.. no doubt about it, although I think the most embarrassing had to be the Crackhead, Drug Dealing Cowboy teams of the mid 90s. Even today, I still can't get in a conversation with friends without someone talking about the Cowboys leading the league in felonies or some B.S. similar cheap shot.. they got the job done on the field, but off the field you sometimes felt bad having to defend them so much.
Get off of this team's back though, 2004's team had a better D and absolutely no offense and I felt worse with them than this 2006 team. That team finished 6 - 10, with superstars like Eddie George, Drew Henson and 2 and 3 game losing streaks coming in regular fashion.
Note: In that 2002 year, I do remember the Campo teams laying down to the Commanders in the season finale and giving up sack after sack.. I remember Emmitt Smith struggling to pick up 1000 yards, watching Hambrick slowly become the better runner (ugh that's saying something eh?)