Oh I think I misread your comment slightly; I would not be interested in an agent that could do something dumb with my routing number, but if somehow there was an agent that I trusted as much as, eg, the payroll department at my employer, I would absolutely want and use that agent; I would love to have an agent that can handle all of the boring parts of my life such as paying bills, scheduling maintenance, dealing with bureaucracy, etc.
Dumb's not department, really just a question of how good an AI you want to use. An AI will always be able to do something dumb, just like people.
I just mean an AI that could use a routing number or SSN and gmail/slack/whatever at the same time without a leak.