Self-reflexion. White's point is that these narratives and meta-narratives exist and are simply something we do. The way to go forward from there is to incorporate that into one's own writing by reflecting the implicit (or implied) biases, narratives and meta-structures. I think this is the case with many of thinkers like him, from Derrida over Foucault to White, that their theories are nothing that can be in any way "applied" to make something better. Instead, what they introduce is a moment of self-reflexion, where we do not just criticise somebody else for their (implicit or explicit) reliance on hierarchies or "external" truths, but instead also question our own influences, connotations and motivations.