A simple backup scheme for wallet accounts

The discussion revolves around the optimal approach to handling account numbers when a device is reused across multiple setups. A recommendation is made favoring the use of a non-mandatory predictable derivation method for account numbers. This strategy suggests that while it's possible to reuse account numbers, it's advisable to opt for a fresh account number for each new setup to maintain security and privacy. The reasoning behind this approach is to conceal the total number of participants in any given setup, thereby enhancing privacy.

Moreover, it is acknowledged that during the recovery process of such systems, it wouldn't be overly burdensome to attempt access with a few different account numbers. This implies that the proposed method strikes a balance between user convenience and the need to protect participant information from being easily deduced.