Twitch audience list live or is it saved?

If you look at the list of viewers at Twitch, that is always live or there will be shown throughout the entire transfer of all people who have ever watched. So if I was in a transmission for a second, for example, is my name there All the time, or does it disappear if I leave the transmission?

No, that's just the live audience

Everything else would be too confusing

The name disappears from the list when you leave the stream (or more precisely the chat to the stream).