> I think agents will have much better luck with TUIs than browsers.

I’m very skeptical. Why would you think that? TUIs inherently don’t provide programmatically accessible affordances; if they have any affordances at all, they’re purely visual cues that have unstandardized and of varying quality.

Compare that to the DOM in a browser where you’ve got numerous well-understood mechanisms to convey meaning and usability. Semantic HTML and ARIA roles. These things systematically simplify programmatic consumption.