Quite. It was not logic which saved the world from nuclear war during the Cuban Missile Crisis. I do not remember who pointed that out to me, but it was Kennedy and Stanislav Petrov who bucked the rational action. The rational action was to hit the 'Launch' button, but they didn't do it and saved all of our lives. All the generals would have had us logically killed.
It seems there is a dispute about what is "rational".
I say it's quite rational to have the option of
not launching thermonuclear
warfare as the default when one isn't absolutely positive that it's necessary.
This is because of evaluating the relative downsides & upsides of the alternatives.
It's a game theory thing.
But ultimately, the outcome of logical reasoning does depend upon one's
initial assumptions & values. Let's look at one set of alternative scenarios....
1) We attack, destroy the USSR, win the war with major casualties, &
remake the USSR in our image. Radiation is a world wide danger.
2) We don't attack, the USSR wins the war with fewer casualties on both sides,
& they remake the US in their image. There's a lesser worldwide radiation danger.
3) We don't attack. The USSR doesn't attack. No casualties, no radiation hazard,
& no regime changes.
Looking at these 3 options & the historical probabilities of actual attack vs false alarm, I'll pick #1.