You can keep 'trying to explain' but then you should use words according to their commonly held definitions otherwise it becomes really hard to have a conversation.
Imagine the human equivalent: I hire John. John is a capable, and competent guy. He's also got awesome computer skills. I tell John to 'go out and find me some good information on my competitors'. As a result John hacks their servers and comes back with all kinds of goodies. Six weeks later I notice what John did. I don't fire him, nor do I take any responsibility myself. But I do make press releases about what John did, in which I'm careful to craft the image that John has these capabilities and that we as a company are for hire.
This was an advertisement, not a confession of a crime.
Correct. Humans are agents like AIs; we have agency.
> Hammers don't mis-interpret their instructions...
You've explained it yourself: AI agents show autonomy that tools don't.
A tool is just anything one or more people can use to accomplish something they are trying to do.