Yes, but that doesn't make it less of a shame when people remove content thousands of people enjoy.
Information that goes on the internet never truly goes away, be it through personal archive sites or more general ones like archive.org (which archives youtube.com directly), it just becomes harder to find unless specifically sought for.
The knowledge that I'm most certainly missing something when doing dated searches, and I'm viewing results filtered by people's current-day hindsight, instead of the unfiltered essence of the youtube of yesteryear makes me sad. We lost a lot of authenticity in the pursuit of flawless public images.