Not exactly. The interesting question was really just "what is the purpose", full stop. In the sense of "what is the point of it all".
The point about the introspection bit is then that being unhappy, suffering from depression, and so on, can (philosophically) be taken to imply a purpose, even if you do not otherwise feel a desire or direct motivation that would get you out of that mental state.
(Justification is irrelevant, I think. It is only about how things are, and what you choose to do. But that is maybe just one philosophical viewpoint.)
The point about the introspection bit is then that being unhappy, suffering from depression, and so on, can (philosophically) be taken to imply a purpose, even if you do not otherwise feel a desire or direct motivation that would get you out of that mental state.
(Justification is irrelevant, I think. It is only about how things are, and what you choose to do. But that is maybe just one philosophical viewpoint.)