I understand that it is a vocabulary choice, but I take issue with calling the price non-objective in that case.

As a toy example, imagine Alice farms Bananas and Bob farms Apples, but each is only able to eat the other food. They would both happily trade forever as they both gain value from this. This doesn't mean that the value is _subjective_, it means the value is _situational_, and I think the rigid vocabulary term and the connotations of the word are conflated a lot.