Baseball Managers: Tactician or Clubhouse Leader?

A couple of friends and I had an interesting discussion this afternoon regarding baseball managers.

Some managers are excellent in-game tacticians; some are excellent clubhouse leaders and good with people. The best managers have both skills, of course. Most managers are somewhere in the middle.

Let's say you have your choice between two managers. Neither of them are idiots. Neither of them are horrible at anything, but their best strengths are different. Manager A is a mediocre tactician but an excellent clubhouse leader. Manager B in contrast, is an excellent tactician but a mediocre clubhouse leader.

Who would you rather have? And would it depend on what kind of team you have, a rebuilding club or a contending club?