Is this 2FA cloud back-up strategy sound?

Your method would probably do. Run through scenarios to restore to make sure you have all the pieces you need.

More general advice would be 3-2-1:

3 copies on
2 different types of media and
1 in the cloud in another timezone/continent.

For encryption of the file, you could probably do something like storing the backup file as an attachment in a Keepass entry that is encrypted with a word you can remember. That’d do, and work out on any platform where you could find a keepass app to open it. Possibilities!

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