Personally, no.
If I'm responsible for something, nobody's getting that access.
If someone's hired me for something and that's the environment they provide, it is what it is. They distribute trust however they feel. I'd argue that's still more reasonable than giving similar access to an AI agent though.
I don’t think we should even be considering releasing AI Agents until they are at least as trustworthy as the trusted humans we normally put in place to do the same task.