A title's copy disappeared from a catalog item's library matches when the
server holding it went offline, and the screen then claimed the title was not
in the library at all.
The reverse-lookup fan-out only reaches online clients, so a registered
server that is offline lands in neither the succeeded, failed nor cancelled
set. The fold read that absence as "left the account" and dropped the
server's verified copies. Worse, the surviving wave looked complete, so it
was memoized for the rest of the profile session and never asked again. With
no server online at all, every server's copies were erased and the detail
screen asserted "Not in your library" over servers nobody had queried.
LibraryLookupResult now names the registered servers a wave could not even
reach, which needs a registered-server set on MultiServerManager because an
auth-rejected Plex server holds no client at all. The fold's rule is stated
positively -- only a server that answered may replace its own entry -- a wave
that skipped a server is never memoized past the TTL, and the detail screen
counts those servers as unchecked alongside the ones that failed.