Fortunately, the "TAS continuity" in this case would have been light. Sulu mentioned disastrous wars in the distant past to remind the ratcats of their place. Both halves of this could well be treated as exaggeration: the Kzinti might not have been complete pushovers, and the wars that concluded "two hundred years ago" might have ended just a tad over one century ago instead, right after Archer trailbazed Earth's entanglement in interstellar conflict.
Most of the Nivenverse pseudo-facts that people remember having been in there actually never made it through the transition, thankfully. We don't have to account for any specific version of how and when Earth first got its FTL drive, say, or how it influenced these four wars.
There are plenty of other TAS nuggets that would have required actual effort to navigate around. But nobody has ever really suggested a sequel to, say, "Counter-Clock Incident", right?
