That pretty well sums it up.
I would hope that is how the history is taught.
I wonder why one never asks the question why Hirohito did not give up earlier faced with a losing position. In fact, even after two cities were vaporized, he was still reluctant to give up. Fortunately he did. We had no ability to conduct many more A bomb raids and most of the other high value city targets had already been reduced to ashes.
The world already had a good example after what happened at the end of the Europe war. The Ruskies had to annihilate the german army in the east and we had to do likewise in the west. They finally gave up after Hitler croaked himself. Tojo et al knew they would face a similar fate to that of the Nazi leadership so why give up till there is no last man standing. Hirohito threw in the towel and that was it. Had he not done so, we would have lost 1 million men and the Japs would have been reduced to a few farmers. Hirohito should have committed hari kari IMO.