I like your way of thinking about it. Proof is just a good in a negotiation. To put your point another way, there is one set of rules, considerations and moti

I like your way of thinking about it. Proof is just a good in a negotiation. To put your point another way, there is one set of rules, considerations and motives for the speaker, and another for the listener. Depending on the context, either the speaker or the listener may be interested in doing the work of assembling evidence for or against what is being said. OP describes the specific rules pertaining to when a rational speaker is desperate to convince a rational listener of the truth of their arguments. But in real life, and in general, there are many more types of situations.