I did not propose that worst case be interpreted as Omega or that it be given any nonstandard referent. I did suggest that “worst case” to describe the Adversary scenario is deceptive to readers, and we should ReplaceTheSymbolWithTheSubstance via a more descriptive phrase like “adversarial superintelligence that knows everything except the bits designated random”. This is what the phrase standardly means in computer science, but calling this “worst case analysis” seems to me deceptive, especially if we’re trying to conduct a meta-ish debate about the benefits of randomization, rather than talking about some particular algorithm.
I did not propose that worst case be interpreted as Omega or that it be given any nonstandard referent. I did suggest that “worst case” to describe the Adversary scenario is deceptive to readers, and we should ReplaceTheSymbolWithTheSubstance via a more descriptive phrase like “adversarial superintelligence that knows everything except the bits designated random”. This is what the phrase standardly means in computer science, but calling this “worst case analysis” seems to me deceptive, especially if we’re trying to conduct a meta-ish debate about the benefits of randomization, rather than talking about some particular algorithm.