It is indeed related to pragmatism, such as to Richard Rorty's interpretation of objectivity as social solidarity. I explain elsewhere how I aim to combine pragmatism with existentialism (plus other philosophies such as neo-Kantian epistemology, cosmicist pantheism, and transhumanism). Some links below.
What does Heidegger say about aesthetics? The standard move (stemming from positivism) is that aesthetic judgment is subjective to the point of being idiosyncratic and arbitrary. Nietzsche's metaphysical take on aesthetics is an exception. Perhaps now the standard, rather, is to naturalize aesthetics, to show how these judgments arise, with cognitive science, but that would be just a change of topic.
Aesthetics takes on special importance, I think, if we take scientific naturalism as entailing pantheism.
