The designations are a bit misleading, but for “asking somebody about something” it’s simply “the noun”, referring to the direct object of the action, similar to other actions. (Whereas the “something” can be referred to by “the topic understood”.)
In contrast to that, “the person asked” is only meant to refer to a person who is asked to do something, usually in the context of giving instructions to NPCs, as in your second example. (From your first example, where it results in “yourself”, it seems that this defaults to the player character if no NPC is addressed. I was not familiar with that aspect of the mechanism, either. Probably one could say that in that case, the player is the one giving instructions to the player character.)