Let me rephrase: does the double crux method contains any improvement that is not already covered by tabooing terms? Or simply saying “why do you think this is the case?”
In this particular argument, no. (In fact, if both participants are willing to examine their own chain of reasoning and consider that they might be wrong, then asking “why do you think this is the case?” sounds like a perfect first step in the double crux method to me)
In cases where the disagreement is due to (say) Bob making a mathematical error, tabooing terms is unlikely to reveal the error, while double crux seems likely to do so. So, as a general disagreement-solving technique, it seems powerful as it can be applied to a wide variety of causes of disagreement, even without knowing what the cause of the disagreement actually is.
In this particular argument, no. (In fact, if both participants are willing to examine their own chain of reasoning and consider that they might be wrong, then asking “why do you think this is the case?” sounds like a perfect first step in the double crux method to me)
In cases where the disagreement is due to (say) Bob making a mathematical error, tabooing terms is unlikely to reveal the error, while double crux seems likely to do so. So, as a general disagreement-solving technique, it seems powerful as it can be applied to a wide variety of causes of disagreement, even without knowing what the cause of the disagreement actually is.