I think that the nukes did certainly affect Hirohito’s willingness to accept a surrender, together with the Soviet attack on Manchuria. There is little evidence to suggest though that it was the population’s sudden lack of support for the war effort or an attempted revolution that forced Hirohito’s hand. As such I don’t think we can even consider the nuclear bombings to have had much effect on the population, which is generally the point of terror bombings - to break the population’s resolve and force them to depose of their leadership.