When I say "the value of a move", I mean the score I'll have if I make that move and everyone plays perfectly from then on.
That's totally non-standard. Nobody else means that by the term. What if you are winning by 100 points? The value of filling a dame is then 100 points?!? If that is your definition, then no wonder we disagree.
Tyler Cowen argues in a TED talk (~15 min) that stories pervade our mental lives. He thinks they are a major source of cognitive biases and, on the margin, we should be more suspicious of them - especially simple stories. Here's an interesting quote about the meta-level: