One thing we have to remind ourselves is our players are not fans like us. (besides Kane) Most of them couldn't give a fuck if they finished above Woolwich. Sure they might say they do, but they don't really feel the same about it as we do.
I think it was natural after the Chelsea result, our heads dropped and a lot of the players mentally checked out.
That being said these are still highly paid professionals and the effort shown the last 3 matches was totally unacceptable. Just going through the motions. Overall, it was a very successful season, however it is hard not to be left with a sour taste on how it ended.
Even if they don't get local rivalries - their job is still to win football matches, so if they are only motivated by money they should still try as the more they win the better they will be paid.