It doesn't matter if they made up the war, B116er and all the other stuff, because it comes down to this:
To keep us (Zion) in check for the purpose of the One-Cycle, planting knowledge is a given, that includes (fake) history. The history of us inventing the Machines then wanting to destroy them because we were afraid of them but then being destroyed and enslaved ourself, is probably the worst possible history. That kind of history manages to get people to belief that their existance is easily understood (last bastion of humanity) and justified (avenge humanity, destroy machines, repopulate the earth, etc.). In other words, the history we (Zion) know is the perfect reason for Zion to exist in the first place. In fact, it is so perfect that if you come down to it (people get to know it after the beginning of the truce), it could have been nothing else than fake (the city of Zion that is, while considering that if the first city of Zion really was built by humans, their situation would have been "less perfect", because they didn't have a guideline like the other Zions).
So, since Zion was a system of control, also history has become a system of control, because without a good reason to exist, Zion would be destroyed before the reinsertion of the Anomaly into the prime program. That, of course, doesn't answer the question if the history is real or not, but essentially it does say: It doesn't matter. If humanity did have a different history, fake history would have been planted (system of control; to control the reason to exist is to control purpose and direction of life), if it did happen exactly like that, well, less waste of resources for the planning of Zion.
The only source of recorded history lies within the Machines, but one resource of history is never trustworthy. Heh, that's why I belief, history is utterly useless in the world, that is the Matrix (+ RW).
There are numerous sources of "recorded history", only the most detailed and complete is with the machines. The Second Renaissance, for instance, is part of the Zion Archives which one could either take as collated archives that Zion has compiled in its present incarnation, or as wholly machine constructed to shape humanity. Nevertheless, the old idiom that "history is written by the victors" is correct, in this case the Machines have written history and could potentially use it to for control, but as with the Matrix, not all are so susceptible to established truths which are in fact deceptions, and would seek the real "history", something that could be found in one of a million ruined cities on the surface, or in the great burial mounds of machines. The evidence of Man's sin is above everyone, a ravaging storm designed for one purpose, to prevent sunlight reaching the earth. Such a purpose would not be beneficial or logical to Machine so evidently there is truth in the lie, and in the history
As for History being useless, that is a strange sentence. History, the study of the actions of mankind in the past, is of vital importance in understanding human nature, evolution, culture, society, religion...and almost anything else you can imagine. A poor historian, or a man who knows little of empirical research, might use one resource of history, but most historians do not. Truth lies at the centre of a web of contradictions and truth is of moral and social importance.
