That's more or less how nostr works, except instead of websites there are notes (a generic type which can be anything - including website content), and instead of servers there are 'relays'.
However, the copywriting there is not in this vein at all. IMO the metaphor of personal websites is a simple, universal one that most people can understand. Nostr seems unintelligible to anyone that isn't pretty technical.
you don't even need to know how to host something on a server, the relays do that for you.