And Google really should implement a "proper" (encrypted) backup solution for Google Authenticator. Relying on users to safely store the individual "secrets" themselves is messy and prone to error.
I agree with the suggestion to introduce encrypted backups, but not with the second part of your statement. At least we Bitcoiners should be well accustomed with storing weird strings (private keys) or a bunch of word combinations (the seed). I have a written copy of each of my 2FA codes that I use for exchanges and other services. It came in handy a few years ago when my old phone suddenly died. I've done the same during the years. But also during the years I had (1 or 2) weird surprises: no seed was provided so I can save, only the QR code.
And in such cases proper software that can do proper backup it's not "a solution for the lazy", it's actually the better solution.
I've migrated away from Google Authenticator (many months ago) and I am since then a happy Aegis user
