Sure, here goes:
Q: "What is the purpose of one's life?"
A: I do not know
Q: "What is the purpose of society?
A: I do not know
My central claim is that there is a purpose, not that I know what that purpose is.
I think understanding how something can be context dependent, but still objective is going to be important here.
I use the phrase "Context-dependant objective value" for a reason.
Objectivity ≠ Absolutism.
For something to be objective doesn't necessarily mean it's also absolute.