Long term, the Jets would be better off finishing 3-13, then 6-10. Better draft picks, and a clear signal to clean house in the front office, coaching staff, aging players, and QB. The Jets would clearly benefit from a good, thorough cleansing.
And although Woody is criticized a lot, perhaps people have forgotten just how monumentally bad of an owner Leon Hess was. Woody is patient enough not to make rash decisions and desires to win enough to put his money where his mouth is. The man is no dummy, but it does take some time to gain enough confidence as an owner to recognize guys like Tanny and Rex are blowing smoke up your a$$ when they tell you "Don't worry, I got this" as the team implodes around them.