OK. I'll try it this way as I've argued many times that Dubya finishing his story time with 1st graders wasn't an indication of incompetence when the towers went down. Presidents aren't required to make split second decisions like QBs are.
Different jobs require different skills. Jeter. before the pitch, undoubtedly went thru as many scenarios as possible. I sincerely doubt, and I don't think you'll disagree, that he ran that play thru his mind. It was a split second decision based on what he saw happening. That is not a call a manager makes.
On the field, athletes make decisions on the fly based on what they're seeing. The good ones make the right one more often than not. In the dugout, they're setting up the play before it happens. Once it starts happening, they cannot influence the outcome. "The flip" was an on field decision not a dugout decision.
Now this goes back to what I said about SS having a better understanding of the game than any other player bar the C. IMO, the SS has to know what everyone else is doing in order to know what he should do. He has to process what the others are doing, right or wrong, and then make his decision on what he needs to do. So I think most SS would be good managers because of that. But that one specific play, when the fundamentals broke down, isn't an indication that he'd be a good one.