I mostly agree but as a counterpoint, there have been a good handful of times in the Cold War where a single person had to choose whether to launch the nukes based on false positives, and simply chose not to.

If there was any evidence for time travel, it would be the fact that no nukes were fired during the Cold War due to a lot of close calls. Honestly the fact no nukes have ever been used in a conflict after Hiroshima and Nagasaki is also improbable.