In the 0103-indirect-identity-control document, how does power of attorney fit in

https://github.com/hyperledger/aries-rfcs/blob/master/concepts/0103-indirect-identity-control/README.md

This document showcases the inderct control situations.
Im looking for inspiration of power of attorney cases.
I dont know if delegation is one of them or not. I feel power of attorney, you are able to access someones data and do actions on that data. But you still act on your identity, but on someones data.
Delegation says "Act on someones behalf", this can be the same thing, but an auditory log should not be recorded as Delegators actions, but the delegate actions.

So is one then acting on ones behalf?
Or am I just getting stuck on the acting on behalf part?