The width of one grid square on that map also coincides with the thickness of the RNZ. What to think of that? In TNG "The Enemy", it takes a top-of-the-line Romulan warbird in a hurry some five hours to cross the Zone. In TOS, no actual crossing appears to take place yet, though. Twenty lightyears for a grid square side would appear fine, then. But it then also means the Outposts are separated by vast distances, and cannot effect a blockade at the border, not on their own (but perhaps they control swarms of drones?).
Amusingly, the map also has as "scale bar" that features tick marks for 2.5 square lengths and attaches to that the legend "5000". A single square would then be 2000 units wide - corresponding to 20 lightyears?
Since we cannot get an internally consistent interpretation of the episode no matter what, we can just as well pick and choose TNG-consistent sectors here...
Timo Saloniemi