So it was done at altitude of over 100 miles. I'm certainly not saying that's a good thing. All I'm saying is that saying it was exploded in the region while technically true is a bit misleading.
At over 100km it was in space. Three nukes were exploded in space, probably at orbital velocity too. The fact that this was over Antarctica was almost inconsequential.
Why at orbital velocity? It's much more efficient to not reach orbital velocity if you just want to explode something at 100km. And an explosion is a momentary thing so there's no need to be in orbit.
Due to ex. gravity, whether it’s at altitude or not is a bit of a nit