You're quite correct that some teams just want to put out for their coaches. These are superior coaches who are excellent leaders, motivators, reward players for top performance, treat all players fairly, and above all, take the crap if they lose and pass on the praise if they win. Don't see too much of that here. Not all players can rise above poor coaching but , unfortunately, become bogged down by it.
Why some coaches have greater success than others? That could take up a whole new thread. But I'm not denying that playing for a coach that you respect, and probably like as a person, is a great motivator to do well for them, as well as your team.
Good examples from NFL, my favs were Shula, Lombardi, Landry.