Heidegger is at times very critical / skeptical of later generations inheriting and applying the traditional Greek ontological frameworks. Chaos (χάος), as an unordered void state in cosmogonies in antiquity, were not explicitly addressed in Being in Time, though perhaps we can triangulate Heidegger's position by parsing through some of the core tenets.
On the one hand, all the neologisms: Dasein itself, de-distancing, being-in-the-world and with-Others seem to be necessary for the meta ontology Heidegger appears to be laying out in Being and Time, and would not be viable in "chaos."
On the other hand, I could also interpret chaos as a special case of Being. Heidegger's notion of "concealment" seems relevant here. The universe self-conceals as we go back in time, until everything truncates to chaos. Presumably this would still constitute Being, but not Dasein. Another notion that seems helpful here is Heidegger's fixation on the primordial. It seems odd to me that if Heidegger advocates taking the more primordial approach to experiencing equipment and such, then why does it have to ever stop? As we get more and more primordial, we would again arrive at chaos, if we were to follow the logic ad absurdum.
Question
Based on what Heidegger wrote in Being and Time, is there sufficient logic laid out for us to infer/parse the tea leaves on how Heidegger likely viewed χάος?