I don't think Green is as bad of a coach as some others including you do, however anyone with half a brain can see that this team is different under Boudreau.
Green had completely lost the room and his inability to change his system to match the players we have on our team became a massive problem.
Has Boudreau himself completely turned this team around? Maybe, but I think the players needed a change and you can see them actually putting effort in now. That's on both coaching and the players themselves.
Not sure why the media is feeling the need to defend Green at every opportunity they get though. This team is night and day different and with a good system in place, which they did not have under Green, they don't need to dominate every game to win. The biggest thing Boudreau has over Green is experience and it's really showing.