I like the clear distinctions you've set between a manager and leader (very well written). I'd like to push this further and claim that a manager in a company

I like the clear distinctions you've set between a manager and leader (very well written). I'd like to push this further and claim that a manager in a company has two roles: one that fulfills the business needs of the company (keeping the machetes sharp), and the other to have vision and lead the people (climbing the tree). A good manager has to also be a good leader. The converse isn't always true, and I've seen many "good" managers (from a business sense) get resented by the people by the people they're supposed to manage.