If I'm following your questions correctly, then yes, the player still has some control over the movements of the NPCs. However, if we work under the assumption that all NPCs have their distinct goals, it is up to the player's good faith to select an option that is most beneficial to the NPC who is currently moving.
The Player and the Informant will probably both want to head towards the center initially. I did specify in the rules that under no circumstances may any character remain in the same position, so it isn't exactly just waiting for a win. It may be in the Player's interest to attempt to eliminate the Enemies, for there is the possibility for the Enemies to eliminate the Player.
If you have suggestions on how I can word things more clearly, I can certainly update the rules as written. Of course, things that are perfectly sensible to the writer may not always be understood by the reader, so I do appreciate you voicing your confusion.
A play example will be forthcoming, but I'm still working on how best to do that.