If there's the same conversation shown on different kinds of Fediverse server, each server type will display it in its own format.
For example:
In the attached images, you can see a conversation thread in the replies to a PeerTube video post. On Mastodon it will look like a Masto thread, but on PeerTube it will look like comments below the video.
They are both the same thread! It's just displayed differently depending on which kind of server you're looking at it from.
@feditips Is this really by server or by client?
Technically it's by client, yes! But I am trying to keep things as simple as possible while people get their heads round totally different server types interacting seamlessly :)