That principle's only consistent in a world where people cannot go back in time - by definition. But if someone actually did go back in time, then the reality of that ability would mean a world where time travel was possible. And in that case, only experimentation could resolve whether history could be changed.
Actually, no. The Principle most certainly allows for backwards time-travel. It just requires that nature interfere as to prohibit the changing of history.
The classic example is this: Suppose you time-travel back to Germany in the 1930's. You decide to shoot Hitler. You will not be able to do it! Your rifle might jam. Or the cartridge might be a dud, etc.