I highly doubt Ted Thompson went to the coaching staff and said " I don't like your punter and I am going to replace him." Obviously, they were concerned with the lack of consistancy and when your talking about a punter your taking the information and recommendations from they guys down on the field.
Ted Thompson made the ultimate call so he is responsible for it but on the other hand he more than likely would have been going against the coaches and their imput to just say "no, we're keeping this guy."
When they whiddle down the roster those cuts will come from what the coaches perceive are the best ones to keep and who to let go. If we let go of a player in this process and he goes to another team and does well it will be the coaches who took the list to Thompson.
Thompson's job is to listen to the coaches about what type of players they need and to bring talent onto the field. Once they get there it's up to the coaches to access the players value and decide which guys belong on the roster.
Why do you think it's McCarthy who is the one up on the podium when these cuts are made and the decisions on who goes and who stays goes thru him? It's not Ted Thompson up there because he couldn't tell you specifically why one player was kept or let go over another.
"The train is leaving the station."