There is no difference except that being thought of as a leader places that person in a position they may not have chosen. This happens when people volitionally elevate someone because of their attributes and behavior. In this case, people have selected a person to lead them who they trust to represent and protect them in many ways.
Otherwise, leaders are selected by those in leadership positions. It’s not the people they are to lead that do the choosing because this gives power to those not intended to have it. The power to empower is a rare gift made available to few people. Leadership selection takes place in most organizations where a hierarchy is in place. Power is established, as are the methods of selecting leaders, and is not easily shared.
Leaders selected by a group may be political or social. In the case of a sports team, selection may be based on the contribution an individual makes, which benefits the team and, therefore, its members. So, as I have written, the power to select a leader depends greatly on the type of organization we have in mind.
Entrepreneurs mostly do what they do for money. Power is rarely a driving force (although it exists). It’s important to know when and if power is the motive behind one’s behavior. It’s not difficult to identify—only difficult to deal with.
I care for people—Help them as best as able—It is good this way.