So he looks defeated, so what? If he really cared he'd try and do something about it, the actions on the sidelines are just frustration at the time, if he it killed him that much he'd be out there every summer breaking his back to get better players in and dealing with the problem areas just like all the top managers.
IMO he'd like to win but is satisfied with 4th and no trophies, a manager who isn't doesn't do the things he does, they do everything in their power to win.
I liken it to a compulsive liar who believes what he says, Wenger is animated on the touchlines and believes he is desperate to win but the reality is that winning isn't as important as it should be to him.