At this point we can comfortably deduce that Allegri doesn’t have big sentiments for the club and lacks the ability to view the bigger picture.
He did not come back here and reject all the other opportunities presented because he had an affiliation for the club. He did it because he was afraid to test himself elsewhere, he wanted to land back in a comfort zone where there would be credit in the bank from his previous tenure to work with and a hefty salary / long contract / backing of the (now departed) president in place.