I know it feels like they're different, but I think that at its core, they're the same.

When you say I am "manually controlling the site", that actually means I run a program on my computer that makes requests to the site, chooses how to display the content provided by the site, and then gives me control mechanisms (e.g. clicking, scrolling) to interact with that content.

An "agentic workflow" does the same thing. It's a computer program that I run that makes requests to the site, chooses how to display the content provided, and then gives me control mechanisms (e.g. typing text) to interact with the content.

I'm not trying to be pedantic here. I really think that the two aren't that different.