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Does SegWit2x either continue to allow or disallow AsicBoost? I've been trying to figure this out. Seems like an important piece to this political puzzle...
There is no design in segwit specifically to affect asicboost.
Any effect it has is purely a side effect, not an attempt to stop it.
Since there are 2 types of asicboost, you'd need to read up about them and determine if the segwit changes affect them.