I thought this was slightly funny.
Mark Zuckerberg is known these days for wearing t-shirts with Latin phrases on them, especially ones where he compares himself to Julius Caesar.
Bluesky made a shirt in the same style, but theirs says “a world without Caesars” in Latin.
You full on misunderstand the protocol. The .bsky.social subdomain does not denote what “instance” you are on. There are no instances on atproto. That user could be self hosting all there data and still use that subdomain. It’s not mutually exclusive. Atproto is far more atomic than AP.