True, this has happened with other similar sites before. The difference as I see it with Invidious is that it is an open-source project [1] that anyone can host. If the main page [2] goes down, you can divert immediately to an alternative host (take [3] as one example). All my RSS subscriptions are one search-and-replace away in my OPML file.
[1] https://github.com/omarroth/invidious
[2] https://www.invidio.us
[3] https://www.invidiou.sh