Good managers tend to have a better feel
for when to "coach" and when to "manage."
Some years, when we had a very talented team, I tried to become more of a manager. Other years when we were not as talented I had to be more of a coach. I believe the difference between the two depends on how much teaching is taking place. A less talented team needs much more instruction (coaching) on how to play the game correctly. Drill work, explaining the how's and why's of various fundamentals and mechanics, chalk talk, and numerous team meetings usually are found on such teams. However, a very talented team may be beyond much of this and respond poorly to it. Backing off this "coaching" and simply "managing" a talented team sometimes is more useful. Basically, get out of the players' way and let them play. Some coaches have a very tough time doing that.
Of course, if a guy tried this "managing" approach to a less talented team, there is no telling where the players may end up on their own. Backing off might be the worst thing for this group who probably need more structured, hands-on "coaching" until they learn the game and start performing at a higher level.
Many managers have a particular style that they tend to stick with regardless of how talented their team is. Some do more "coaching" and some do more "managing." Give a guy who is more of a "coach" a young, less talented team and he may do quite well in that setting. Give that same guy a talented roster and he may drive them all nuts. The opposite is true for the "manager."
The best coaches out there realize that they are both a "coach" and a "manager" at the same time and also realize that which one gets more attention ultimately is determined by the talent in which they are in charge. We, as coaches and managers, want our players to be flexible and adjust to conditions around them. Sometimes it's not just the players who need to adjust.