Adding to this, I seem to recall that the specific geological/chemical conditions on the site is consequential for the sorts of glass produced. So presumably, Hiroshmiaite and Trinitite would actually be physically distinct as a material.

As I recall, research on meteorite impacts use the similarly formed Impactite to deduce various things about ancient impact sites. As an aside, I think they also do really elaborate calculations of force and angle of impact based on surveying the spread pattern and distribution of these little glass chunks.

https://en.wikipedia.org/wiki/Impactite