The only mailboxes you need to move are the arbitration mailbox as they are organizational mailboxes.
Any system and/or Monitoring mailboxes created by each database do not need to be moved as they are tied to that database and go away if the database is removed.
Exchange will throw an error if you try to remove any database with an arbitration or user mailbox on it.
https://blog.rmilne.ca/2018/03/19/arbitration-mailboxes-lay-of-the-land/
https://blog.rmilne.ca/2016/09/15/when-to-move-arbitration-mailboxes/