That's true for Hiroshima, under excellent weather conditions and Hiroshima as prime target.
The Nagasaki mission went rather afoul with RV problems, poor weather, fuel pump trouble, target changed from Kokura to Nagasaki : contrarily to instructions they planed to the last moment a radar aimed drop when a clouds clearance enabled a sighted drop.
While that's true, none of that affected the accuracy of the bomb detonation in relation to the aiming point. Of course the original aiming point was down on the shoreline at the Nagasaki docks some two miles away from where the bomb went off, but given the bomb was dropped visually, and the bomb aimer, "the Great Artiste" himself, only saw the race course that he decided he was going to use as the aiming point briefly through the clouds, the hypocenter was only a few hundred metres in horizontal distance from it. Again, it is a testament to the accuracy of the sight that the bomb detonated as close as it did to the aiming point.