Going of the word "derivatives" do you mean hierarchical determination (HD) wallets as a backup instead of using individual public-private key pairs? The difference here is an antire wallet can be store on a piece of paper/ahead of its use which can be used as a full backup without any risk of losing funds/keys because you've not backed up since your keypool got full/didn't print that private key.

There's also an argument for error reduction in HD wallets as writing down a nmemonic makes mistakes easier to find (electrum is a good example of how this can be done as you can select words as you type them so you'll know a lot of the time if something's written down wrong).