Singers. Bug (Pillars of Eternity)

The personal statistics of the character (total damage done, etc.) do not include the damage done from songs. That is, what is inflicted from drawing stamina (song of 1 level) or from flying dragons (song of 3 level, deals fire and slashing damage) does not add to statistics. And in the end, my chorister, who mows down enemies in batches, according to the game statistics, does not damage at all. Is this a bug or damage from songs really does not appear in the statistics?