My thing is: I visit a particular website to get the latest news on a topic but it's done with some kind of poorly coded implementation of offline cache. Despite my privileged, first-world, 4G-everywhere connection, it insists on loading stale data even though it looks exactly like a regular website. And this clashes with my vision of internet, which is, as others said, regular pages with hyperlinks, and a Refresh refreshes the page to get the newest version, even if it's stale. If things haven't changed, then they haven't and I instantly know nothing's new.
As I've said, pretty minor and I realize that Offline mode has much more pros than cons.