The issue was not with rsync as I originally was thinking, but rsync passing through an error message. Running:
touch /mnt/1TBHDD/backup/.2022-05-22T13:09:38_db_backup.sql.gz.JVyRsP
returned:
touch: cannot touch '/mnt/1TBHDD/captionsearch.iomyfile/.2022-05-22T13:09:38_db_backup.sql.gz.JVyRsP': Protocol error
The error is because colons are not allowed in windows/CIFS filenames. Changing my naming convention away from those characters resolved the issue.