If I have to go get the backup out of "secure" storage each time I want to add a new Passkey it's not really a backup.
The design should have allowed, even if it was just within only the purview of a single manufacturer, a method for the device to export an encrypted dump that could be reloaded onto a factory-new device. Heck, make it a value-added service that the manufacturer has to initiate and tie it to some real-world identity verification.
The idea of having to put backup devices in-hand regularly is a bad design.
Phone apps. get around this idiocy by backing-up the encrypted Passkeys to a hosted service.