There was a lot to like about JDT, like his changing the way all levels of the club play, to a specific style.
However he has a big hand in this relegation form. As a manager it's your job to motivate your team, shield them from things that would bring their morale down. Ultimately the venkys and the board are to blame for the mess we're in, but JDT and his antics have a hand in all of this too. His interviews from very early on, were not of talking about the club as one team. He'd refer to things as, dont ask me ask whoevers job that is. Silly answers to put Greg and the board under pressure to get him what he wants.
He could have kept a unified persona and complained behind the scenes, instead he did it on camera. None of this will have helped the players.
Personally I dont think other clubs will be chasing him, who would want a manager who may say something like "we all know this team needs a 20 goal striker, it's down to the scouts and board to find and secure one". Then have the fans blame the board if they dont get one (not saying he said this already, but it's his style). Which board would want a manager who doesn't show a unified front?
He's got lots going for him, but he also has a lot to learn.