I guess the point of GP (and of Jane Austen) is that people never actually universally agree on anything. And when they superficially do, there is actually a large undercurrent of disagreement.
Another fun quote apropos here would be "I love standards, there are so many to choose from"
But I think that's fine as I don't want Claude to write literature, I want it to solve problems.
There's trouble though when either there is conflict that isn't reconciled between the interlocutors or worse, when there is a satisfactory conclusion between the two interlocutors who never accounted for the divergent definitions ... there are many 'objective' understandings of what a thing is.
"A Fundamental Fear: Eurocentrism and the Emergence of Islamism"
See Wittgenstein’s Philosophical Investigations for a deeper treatment of that topic.
“It is a truth universally acknowledged, that a single man in possession of a good fortune, must be in want of a wife.”