Managers should definitely be structured, however the more senior you get the more random curveballs you get. Ultimately the single broadest trait that makes someone suited for senior leadership is judgement: When to be structured vs reactive, when to step in quickly vs when to let subordinates figure things out, what people’s strengths, weaknesses and preferences are, and ultimately how orchestrate all these things to maximize business success. Ultimately at the executive level these things are extremely contextual and rules of thumb won’t get you far if they’re not backed by relevant experience.