In the moment, it's really hard to step back and ask yourself "Does this make any sense?" when you're primed to react in some particular way.
2. "X did not happen" does not mean "Y was not a factor in X". The "about to get blown up" factor was part of the reason the Cuban missile crisis happened; it's also probably part of the resolution.
0: https://en.wikipedia.org/wiki/Cuban_Missile_Crisis#Averted_n...
They probably had second thoughts, but they got confirmation that contact 4474 was descending rapidly.