Gute not having the authority to fire the HC is bad. This could workout badly if all these people going directly to Murphy undermines the GM. On the other hand, it sounds like there were some internal communications issues in the Packers. It's possible that TT compartmentalized the coaching from the scouting from the finances causing friction and a sense of people not being trusted. Opening up those lines could make things a whole lot better.

Hope for the latter, be prepared to fire Murphy in case of the former.