I think the details of key relation doesn't really matter, be it HD-derived from a master key, be it derived in a chain from each other, or just a set of predefined keys, they all have in common:

- you have to create some state upfront, with secret and public part

- you have to safeguard the secret part separately from your 'day-to'day' nsec

These two points make pregenerated/HD schemes weaker.

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weaker than what? what alternative are you contemplating?