It's all part of the current celebrity mania that has engulfed society. All you need is a hook to get into gossip magazines - once there, you can leverage yourself as much as you like, whether that is photo opportunities with orphans or passing out in front of nightclubs. I think the second-tier sports players would find that mightily attractive, because it's certainly harder to keep winning at the sport you're playing.
For example, owners might trade wins/losses now to help a storyline in exchange for markers for future wins when they're on a championship track.
The NFL's lawyers stated the NFL competes in the "entertainment marketplace" (http://judiciary.senate.gov/hearings/testimony.cfm?renderfor...) and operates as a single entity, not as 32 teams.
Moreover there have been several politically-beneficial wins in the last 10 years -- the Patriots winning the Super Bowl after 911, the Saints winning it after Katrina, the Jets winning this year's Sunday night opener on the 10th anniversary of 911, in a metaphorical come-from-behind victory -- did you see how that game went down?
In the Jets game, Romo literally had to throw the game away in the 4th to lose it, and then his reputation was restored the next two weeks after two dramatic, media-hyped come-from-behind victories while playing with broken ribs and a punctured lung.
Thing is, you show a couple of examples that are easily coincidences while there are many many counter examples. One big recent one is first super bowl in the new Texas stadium where the Cowboys were picked early season to go there and win. I don't even think they made the playoffs that year.
Hamilton in Spa 2008 and Alonso in Monza 2006 are examples which come to mind.