Your boolean disagreement is relevant because it’s actionable. Suppose that:
Alice thinks calling is +$100 EV
Bob thinks calling is +$10 EV
Claire thinks folding is +$10 EV
David thinks folding is +$100 EV
In this case, Bob is much closer to Claire than to Alice in terms of their beliefs. But Bob agrees with Alice about the correct action, which is often the thing where disagreement actually matters.
(Politics-related examples are left as exercises for the reader).
Even though they’d take the same action, it still seems like Alice and Bob disagree more than Bob and Claire. I’d argue that Bob and Claire probably have more similar world models and are more likely to agree on other actions than Alice and Bob are.
I guess it depends on what you’re trying to achieve with an argument. If Alice and Bob have to agree on a decision for a single hand, then it’s convenient that they can agree on the action, but I suspect if they had to team up long-term, Bob and Claire would find it easier to work together than Alice and Bob would, and Alice and Bob are more likely to have major disagreements which would improve their play to resolve.
Your boolean disagreement is relevant because it’s actionable. Suppose that:
Alice thinks calling is +$100 EV
Bob thinks calling is +$10 EV
Claire thinks folding is +$10 EV
David thinks folding is +$100 EV
In this case, Bob is much closer to Claire than to Alice in terms of their beliefs. But Bob agrees with Alice about the correct action, which is often the thing where disagreement actually matters.
(Politics-related examples are left as exercises for the reader).
Even though they’d take the same action, it still seems like Alice and Bob disagree more than Bob and Claire. I’d argue that Bob and Claire probably have more similar world models and are more likely to agree on other actions than Alice and Bob are.
I guess it depends on what you’re trying to achieve with an argument. If Alice and Bob have to agree on a decision for a single hand, then it’s convenient that they can agree on the action, but I suspect if they had to team up long-term, Bob and Claire would find it easier to work together than Alice and Bob would, and Alice and Bob are more likely to have major disagreements which would improve their play to resolve.