Management jobs have two aspects: people management (which you talk about) and team management. The latter definitely falls into "where to row" in your analogy.

Management jobs have two aspects: people management (which you talk about) and team management. The latter definitely falls into "where to row" in your analogy. You can call that aspect of being a manager "leadership" but in practice it's not a separate job. A manager that ignores that part of it is failing.