The point I was making is that Bethesda are famous for putting all kinds of references and easter eggs into their games. One such example is the design of the bomb we see in Megaton, which is modelled on the "fat man" that was dropped on Nagasaki. Another one, connected with Fallout 4, is the release date which just happens to be the birthday of the US Marine Corps. This ties in with the military background of our protagonist.
Thinking about this from a design perspective, you would actually expect Bethesda to make any in-game dates significant in some way. Just like, for example, the main character in the Matrix series being called Neo, a word meaning "new", which also happens to be an anagram of the word "one". Bringing this back to Fallout 4, the relevance of Armitage and Harkness, for example, is the fact that were the first known androids built by the Institute. The Institute are very significant in the Commonwealth, the setting for Fallout 4. This same reasoning is also applicable to the vertibird reference, as we have seen several of them during gameplay. But why would the 200 year gap regarding both of these be relevant in any way? The simplest answer would be that Bethesda's first venture into the fallout universe was set exactly 200 years after the great war.
This may all seem a little cryptic, but I do think that even if these are not the dates the developers have used, the actual dates will most certainly have strong connections to other dates and events in the fallout universe.
EDIT: the dates from my timeline as I have clarified them here would actually support the elements of concept art as shown in this thread. The two main themes being the idea of a more expansive territory for the Institute (and even the possible HQ of the Railroad) as well as the inclusion of factions from Bethesda's previous games suggesting a start date some time after the events of NV.