Rob Farley has a set of questions you should ask yourself regarding your backups:
Does your disaster testing include a situation where a well-meaning person has taken an extra backup, potentially spoiling differential or log backups?
Does your disaster testing include random scenarios where your team needs to figure out what’s going on and what needs to happen to get everything back?
Something which might be helpful would be to catalog the reason why you restored a particular backup (or when somebody asks you for a backup but you can’t do it), and then have a plan to handle that scenario in the future.