If you want to know what 02017 was like, you can ask pretty much anybody; most of them will remember pretty well. You may remember yourself. But if you want to know what 01997 was like, well, most people have pretty much forgotten. Did you know they didn't check your ID at the airport in 01997? People would resell non-refundable airline tickets in newspaper classified ads. Airlines wanted to stop this practice, but competition prevented them from instituting mandatory ID checks. Until 02001, when the US entered a permanent state of war on abstract concepts.
It's true that there are a lot of things that are true today that weren't true in 01997. But most of those things are not worth knowing, because they won't be true in 02045 either. In fact, a lot of them won't be true in 02022.
So, losing access to a web page from 02020 is bad, but losing access to one of the few remaining web pages from 01997 is much worse.
Why are there people who think otherwise? Because they never learned to think of the World Wide Web as the greatest library in human history, probably because they don't value libraries or learning; instead they think of it as a way to dunk on their political opponents and consume up-to-date memes from Instagram or Netflix.