If the PCs are doing the shooting, odds are better than good that the NPCs are sharing a single Edge pool anyways.
Is it? I imagined pooled Edge would have a scenario where there's a group of NPC grunts sharing one pool, and then some number of named/non-grunt/tougher NPCs with their own Edge. Boss-plus-goons is pretty common pattern in my games. Is that not how it works, in your opinion?