There's that very helpful post on how beehaw defederating affects us
If my understanding from that is correct, then all the communities,posts, comments, which lemmy.world or any other servers users have subbed/interacted with are all cloned over or lemmy.world or the respective servers.
So if beehaw shuts down, their data will live on the other servers until they shut down themselves or purge the data for some reason.
Although this would only be useful for archival purposes and not useful to interact with any of the old posts, as any further changes would not be shared across the remaining servers.