Bluesky PDS' appear to be intended for invite only nodes for a handful of people at most. There are few compared to the overall scale of the social network.
There is an "app" which consumes data from these however this is exclusively run by Bluesky. Moderation seems to happen here.
A PDS does not have a standalone website and is practically useless unless accessed via the "app".
https://atproto.com/guides/glossary#pds-personal-data-server
"A PDS, or Personal Data Server, is a server that hosts a user. A PDS will always store the user's data repo and signing keys. It may also assign the user a handle and a DID. Many PDSes will host multiple users.
A PDS communicates with AppViews to run applications. A PDS doesn't typically run any applications itself, though it will have general account management interfaces such as the OAuth login screen. PDSes actively sync their data repos with Relays."
"Relays are an optimization and are not strictly necessary. An AppView could communicate directly with PDSes (in fact, this is encouraged if needed). The Relay serves to reduce the number of connections that are needed in the network."
https://docs.bsky.app/docs/advanced-guides/moderation
According to Bluesky's own documentation, network wide takedowns are carried out by the firm.