> Backups stored on the same volume is an interesting glitch to avoid

The phrasing is different, but this is how AWS RDS works as well. If you delete a database in RDS, all of the automated snapshots that it was doing and all of the PITR logs are also gone. If you do manual snapshots they stick around, but all of the magic "I don't have to think about it" stuff dies with the DB.

To be fair, to delete an RDS / Aurora DB, you have to either pass it a final snapshot identifier (which does not disappear with the DB), or tell it to skip the final snapshot. They give you every possible warning about what’s going to happen.