If your server is run by a team of admins/mods, it's a good idea to list the accounts for your team on your server's "About page", or at least two of them. (With their permission, of course!)
There may be urgent reasons why other people need to reach your server's admin/mod team, for example attacks routed via your server etc.
Mastodon and many other Fedi platforms only show the admin's account by default, so if the admin is unreachable there's no obvious way to contact your team.