While the Wildhammer do the same quests (more or less) they never indicate they’re claiming the territory rather more along the lines of fighting off and removing an enemy. There is also a bit about saving a captured Gryphon.
Given the horde version and Alliance versions I’m inclined to believe the final say is supposed to be that the Horde and the Raventusk capture Jintha’alor while the Wildhammer secure their side of the Hinterlands and are prepared and able to protect themselves.