Excellent point!
Perhaps, then, I'll reframe this: I hope for greater attention and transparency to aid in navigating available servers by business model. An opt-in directory which may actually help people find independent private servers if that's what they're looking for.
One example I quite liked was the instance run by archive.org. It is strictly for their own employees and not available to the public. If I worked for them, I don't know that I'd opt in -- but I appreciate that it's offered!
Good question. None that I think would be fun for the general public...
... although...
Perhaps you might enjoy the 1976 Canadian novel "Bear", which features an Archivist as the protagonist. It won the Governor General's Literary Award when it came out.
https://openlibrary.org/books/OL4885078M/Bear