If you think about it for a minute, one soon comes to the understanding that any computer, now or in the future can only fulfill the intent of it's operating system. The programming, whether only. from a human or whether from another computer can only derive its output from what it "knows". Rather like the super computer named HAL depicted int he movie 2001, a Space Odyssey. It had the personality and goal fulfillment of its creator Dr. Chandra.
The probelm is, in the context of this question, what exactly is history. Name any historical happenstance, near or far (timewise) and there will be numerous interpretations of the event, no? Some will disregard data supporting a viewpoint, others will interpret the data (if available) based on their own bias' and yet others will disregard data completely. So, the "Holodeck" envisioned by Captain Loosehead in my respectful opinion, will contain but possibilities programmed by those same fallible humans...