The thing is, there are very different kinds of responsibilities. One person's responsibilities are to perform some assembly line step in a factory. Another person's responsibilities consist of being a representative of an organization.

If a person has responsibilities as a representative, then there isn't a clear cut separation between their private conduct and that representation, and they have to be aware of that and accept it, however reluctantly that may be. Anything that leader says and does may be interpreted by the public, rightly or wrongly, as being part of the representation.