Specialization, mainly. You want the cost per unit to be fixed for all users.

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If the PoW scheme requires the user to commit to some user id in the hash, would that satisfy specialization?

Don't think so? (Also there are no user ids in bitcoin).

Yea, just making sure I understand the problem. I agree in general that pow appears to still be lookin for a second use case.

I was thinking a user id (if one exists) would make a pow at least only useable for one user.