As others have pointed out, cryptographic authentication is very hard to bootstrap if you simply loose your device. Just last month my missus cracked the glass of her iPhone. Apple repaired it under AppleCare, which is great… except … that they didn’t tell her that the “glass repair” entails them replacing the guts of the phone and wiping it in the process. Apple iPhone backups don’t contain cryptographic secrets lik…
Honestly, if they'd just give me the option to write it down (or take a picture or whatever) and manually restore it by typing it in if I need to, that would just about solve the issue
The solution is to set up multiple pieces of secure hardware, not writing down the keys to the castle on a piece of paper.