Yes, I believe so. It's in the entire area unfortunately.
Ugh, and the only other place to catch them in HG/SS Safari Zone. And here I thought I'd finally be done with it. >_>
Ok, so by the same logic, if there were 4 wandering NPCs, and I VS Seeker'd and beat them all, they would remain stationary even if I left the screen, but stayed on the same route, right?