You're building up a ridiculous strawman. Why, in your farcical example, does "fully rational" mean by definition maximizing short-term economic gain? Even if it's hard to give an exact value to a relationship (are you quoting something or do you mean the word ironically?) certainly a good relationship is better than a bad one, and poisoning a relationship strictly for economic gain has some sort of opportunity cost.
just another hole in classical economics and theory of rational choice.