Stuff online is absolutely worth saving. It is a window into the past - what people concerned themselves with, what they loved and hated.
Scholars will write papers on this era, speculating what it was like and how it fit into what came after.
The web documents the massive societal changes underway which do not relate to the internet directly. Things like changes in transportation technology, medicine, sexuality and gender, and how your average people felt about all of it. Scholars will data mine those opinions to understand who felt what ways and why, with the benefit of hindsight. New knowledge will come of it.
So yeah! It is all worth saving.