Currently, the backup names in the All-in-One WP Migration plugin are used to determine the date the backup was made, and changing the backup name manually may lead to incorrect results on the backup page. If you wish to provide additional information or labels for your backups, you can use the labeling feature available on the backups page of the plugin to leave notes on each backup.
If you have suggestions for enhancing the plugin, such as customizing backup names before the process starts, please feel free to share your ideas on our feedback site: https://feedback.wp-migration.com/