No, I think you were mostly correct. Submitting a form on a Web 1.0 site—typically search or guest books—was hardly an experience you’d call “interactive”, especially today. Every form submission required a refresh, and sites were usually very static. Web 2.0—and honestly, I’ve always thought these classifications were rather hazy—was where you started seeing the ability to submit/request data without requiring a page refresh. I remember Flickr as being a good example of that, with their dropdown menus, drag-and-drop UI, and smooth form submission.

So while it’s technically true that Web 1.0 was in some limited sense interactive, I agree with your comment that 2.0 was where interactivity as we think of it really began, especially regarding forms. Also worth noting that if you look at how others define Web 2.0, a common theme is the focus on user-submitted content, which is consistent with your impression of what 2.0 was.

(And to be clear, I’m hardly a teenager; I’m 40, remember 1.0 and 2.0 very well, and have spent more than half my life building both kinds of sites professionally.)