It's been my experience in FE that to clear a wildlands you have to kill the boss, clear all the goodie huts, and kill all of the wandering monster armies from that wildland, even if they have wandered out. But with LH I was able to clear one of the wildlands by clearing all the goodie huts and beating the boss, even though one of the monster armies was still alive. So I'm not entirely understanding the rules, but I thought that you at least always had to beat the boss.
Edit: Note that there was also a bug in FE where if you saved the game after you had started the wildlands quest, quit the game, then restarted the game and loaded the save, the wildland could never be cleared. In other words once you started it you had to clear it without leaving the game. I don't know if that bug still exists in LH.