I'm not sure if this is going to be a prequel to the original film, or the start of a new Apes continuity, but it will most certainly not tie into the Burton ape-omination.
There are two schools of thought to the original Apes series.
The first is that the Ape-verse is a temporal loop - that Taylor's arrival leads to the end of the world which leads to Cornelius and Zera coming back in time, birthing Caesar and starting the ape uprising, which will lead to Planet.
The second is that the ape uprising originally happened without Caesar, and by coming back in time Cornelius and Zera alter the timeline, perhaps leading to an eventual peaceful coexistance between man and ape (though I think this is wishful thinking and ignores rather obvious clues).
Because I'm not a fan of time paradoxes, I tend to lean towards the second theory, with the caveat that the alteration is extremely minor in the long term (after a few thousand years, it won't matter if the ape uprising happened a few years early).
So if this is the tack taken by the filmmakers, then this story would be, or at least could be, the tale of the uprising that would have occured without the intervention of Cornelius and Zera.
The biggest problem that I see, and should not be one here, is that the total nuclear war zeitgeist isn't as pronounced today as it would have been in 1968 (and, for that matter, the first 19 years of my life). But perhaps by the time the second or third sequel to this film hits theaters, current events will have fixed this.
