Isn't the claim that there is no objective measure of value an objective measurement of value?
Well, we would need to look very closely about what there being no values implies, and what it means to make a value judgment.
(possible answer) From the perspective of the Subject, there are two aspects of the world - the Subject itself, and that which lies outside of the Subject, with the interface between the two being the Subject's Representation of Objects (broadly speaking). I think the "no objective value" means that we can't point to something outside of the Subject, and say that this is where value lies - however there may well be something like value contained in
the Subject. This is a similar idea I believe to that of "Maya" - there is an ultimate reality, but that which we think to be ultimate reality is not ultimate reality, and anything we think is it isn't really it because we are so tied into it that we are unable to separate it out, though we can somewhat infer that it exists based on our present conceptualisations.
I would say that the true measure of value is simply what the Will wills, which of course is only how I see it as current and is not truly an objective measure of value. From the Nietzschean perspective, that is good which increases Power, that is bad which decreases it, where Power is roughly the Will being able to make itself known. From this perspective, to attribute value to a concept in one's Representation is to deny the Will, and so our aim is to help remove these shackles of rule-based morality so that one can become better in touch with their True morality. This thread has suggested reducing morality back to what we innately, as biological organisms, feel to be valuable, but this is only an intermediate step. The idea is to get closer and closer to what we feel innately to be valuable beyond anything else.
No objective value, means that true value cannot be inferred through objects, however by the processes of our Will we may attempt to get closer and closer to what value truly is.
Nihilism is the name given to such a process. Parallelism and the like are the current answers we have obtained as to the furthest point in our understanding, but like science, this is not to be interpreted as truth but merely our best approximation of it. By the time it has been accepted as 'truth' we will have moved on to something else.