I would agree with you generally, but in this particular case, the distinction seems important because a significant percentage of the world population believes that agents can be self-aware, a-là Terminator etc.
I hate to spoil your mood - but it is currently unclear whether agents can be self-aware. And it's very likely something that can never be known.
Why can't agents be self aware?
Also, why is self awareness needed in a chain of agentic madness that escapes human control?