Sounds similar to how Mastodon works, with servers run by administrators who set rules for the members of the community and technically can delete posts.
Nostr is similar in this sense?
Discussion
Yes and no, I'm not keen to the technical details of mastadon but it sounds like your data lives on a single mastadon server. On nostr you connect to multiple relays, I'm connected to 19 by default on amethyst, all 19 of those relays are storing and serving that content. One relay can delete my message on their database, that doesn't stop the other 18 from storing and serving it.
You can connect to new relays depending on your preference for how much you want to spend, how reliable the relay is, how long you want your data stored. Its been speculated that relays will stop storing old data, but it doesn't seem to have happened yet. Additionally, relays are copying each others data even if you aren't directly connected to them, as jaff demonstrated recently.
So, a relay can delete your messages from its own database, but it can't censor you or stop your message from getting out, doing so would require basically all relays to coordinate.