agency question

Hi Mike.

The revision notes state that if an agent does not disclose that he is an agent, the principle cannot be held liable, as well as when “Where agent is acting on his own behalf, even though claiming to act on behalf of the principal”

In the Chapter 8 ‘end of chapter exam’, the first question asks in which scenario a principal will not be held liable for an agent. The correct answer is where an agent does not disclose that he is an agent. That is clear. But one of the other options is:
“the agent intends to take the benefit for himself and discloses that he is an agent”

If the agent intends to take the benefit for himself, is that not the same as the second point from the notes (above)?

Thank you.