See we're taking about inherent value but part of that is my valuing a not nonsensical explanation. And saying math has intrinsic value because some of us treat it as that is nonsensical and anti-science or anti philosophy. It is not based on an intelligible definition of value. Which goes to my original point that when people trot out these arguments they are really thinking carefully about what they are saying. And the more you see these talking points repeated I have to ask who is putting forth these notions. And so every time it is someone making these sweeping declarations about "value" and other people are supposed to accept that. It is a kind of ideological being talked-down to, what gave them the position to declare the ontology of value and so forth. And that is pattern once pointed out you'll see people keep doing it.
I don't understand what you are trying to say.
Why does anything have value? Ultimately because we can use them to get something we need or want. For the former, there is some sense in trying to reach an objective definition of value. The latter is inherently subjective. Some things are valuable to some people, because those people find those things valuable. That circular definition is the root of subjective value that cannot be reduced any further.