Its less about puck movers with Nurse than deployment. Nurse was largely deployed in a more offensive set when he was with Barrie, now he is largely playing a defensive role due to Bouchard. You want Nurse to look like he did with Barrie, move him with Bouchard and take those tougher minutes away.
You play Barrie and Nurse and keep the deployment the same, you are adding .5 goals against per game. You cannot have 2 players with many defensive lapses playing against tough competition in their own zone all night.
Nurse does not need to be babysat. He needs to be played into his strengths and, but more importantly, away from his weaknesses. Instead they are doing exactly the opposite.