The old name left the mirror direction open — it could just as well be read
as Gitea being the source. Naming source and target in that order removes the
ambiguity for anyone setting this up, and matches the title the README already
carried.
The name is not just internal: it is the install directory and the identifier
both APIs record in their request logs, so an inconsistent name would stay
visible in places that are awkward to correct after the fact.
Existing installations are not migrated. The old directory and its cron entry
survive an installer re-run and would sync a second time in parallel, so they
need to be removed by hand.
Gitea pull mirrors preserve Git refs but leave release notes and uploaded artifacts outside the backup. Without a separate synchronization path, restoring a repository would still depend on GitHub for important release context and binaries.
Andre