The phrase "Temporal Cold War" is used in several episodes, but a "cold war" is a non-shooting standoff, there are no hostile engagements. This is not a cold war since there are hostile engagements. This is a "temporal war."
Whenever the video signal is being lost, instead of pixelating, as a digital signal would, the picture shows analog "snow," which would be unheard of by that era.
The montage shown during the introduction shows events in the history of flight and space exploration but not in chronological order. Also, the events seem to focus on American achievements and doesn't show Russias role in the space race including the first object in space (Sputnik), first animal in space (Laika the dog) & first man in space (Yuri Gagarin).