Paragraph "Friendly Neighbourhood Storage" is quite unrealistic for me and isn't helpful to make a plan for that accident.
USB stick can have only the most important passwords to most important services. When you have access to those more important services you can recover a most recent password manager file backup from multitude of cloud services etc.
Hide it. It isn't meant to be used until an emergency.
Changes are close to zero.
Yeah, you need to remember master password. How do you logged into password manager up to that day without it?
Aside from that TOTP secrets are only second factor - they won't let you log in alone without password. It should be thought as a proof of physical access to something. You can also store it unencrypted, when it is stored on your property. Cloud provider? Encrypt it, because it is being stored on someone's else servers. Yours flash driver in your house? It can lay unencrypted. A piece of paper amongst documents in yours parents house? It also probably can be stored in unencrypted form here too.