No, actually, it's a piece that occurs only once in the game, and for the specific event (is that an "event" song? i'm not fluent on the terminology lol). I don't know how far you are in the game, but basically, something tragic has happened and this piece kind've evokes a genuine worry or concern for what has happened, and it also fits in with the atmosphere that the light storm creates.
The Hyrule/Overworld Theme is completely different. I would describe it as heroic, compared to the piece in question which I would describe as grave or solemn.