I doubt it matters much. The zone only has two purposes. It's host to some cutscenes for the voracious storyline to add some story elements and background information on the prime weapons, and Gama-Shama stands around in there selling and upgrading said prime weapons. However, when you first enter the knife Gama won't so much as give you the time of day until you complete a specific VSR cutscene which unlocks his chat interactions. There's literally nothing to do in there until you get the cutscene that starts the prime upgrade process, so having the membership card KI early is completely moot.