I think his argument is based on the premise that the atomic bomb meant the war could be ended without protracted ground invasion and thousands of additional conventional bombing runs.
You can still dispute that premise -- and while I don't, many people do. But if you accept that premise, then yeah, it's a war. End (win) it as soon as you possibly can.
I also think that in a war, unless you think you are on the wrong side or perpetrating immoral aggression towards an underserving enemy, you should optimize for more deaths on the opposing side than on yours.
Also, I live in Tokyo (though I am American) -- and the sustained, conventional firebombing of Tokyo produced more devastation and casualties (though perhaps not horror) than Hiroshima or Nagasaki[1].
Of course dropping nuclear bombs on civilian populations is a terrible thing to do, but to me the key point of Beser's lecture is that he reminds you that it was done in the context of a completely fucking horrific world war. Which really does radically change the equation.
[1]: https://en.wikipedia.org/wiki/Bombing_of_Tokyo