They are not people, they are like robots. The degree to which Parallax affects people is also highly debatable. Making someone more paranoid and frightened shouldn't make any sort of difference here. It doesn't matter what Green Lanterns are trained to do, they all have independent thought. The Annihilation Wave drones are like robots with 4 functions. Eat, kill, die and DIEEEEEEE.
I don't think you understand Parallax. He isn't just an enemy. He is FEAR!
IF you actually think Parallax only make you paranoid them that just you ignoring what he is. Even in rebirth, he makes people nightmare true, he makes hallucination in you head, he doesn't just give you fear. He manipulates it, he changes, in develops it in so many ways. Characters don't become paranoid, they get attacked by their fear. Look at the scans in Rebirth( I think not sure if it's rebirth), where you see Parallax grow in size as people cower from fear. That's just how it is. I think it's even stated, where ever Parallax goes, fear follows.
Don't forget, Parallax can also take multiple hosts, so anyone tough can be taken out easily.
Do the drones how any emotions, if not, they are robots indeed, if they are anything of a combination, Cyborg will steal their tech. In this FIGHT, SCW has a huge advantage. All these ships, cannons, teleporters, anything that the Annihilation Wave can use, Cyborg can take it for himself. It's been shown over and over, I don't see why it would be different. The fact that he is able to take technology even though it as high tech as the source wall, to something as simple as a chip.
- Once again, Cyborg can -easily- be countered by someone with planetary-level reality warping. So can Parallax. And these are not technological robots, but organic beings.
Organic beings mean they will have fears
- For Parallax to take a host, he needs to be close by or physically near them. Once again, he's warped out of existence by the Infant Terrible. Better yet, everybody teleports out of his way.
Again, you are acting as if the enemy knows where he is, he looks exactly like a yellow lantern. Now all of a sudden they know who Parallax is and what he is capable of. Even if they did, he can easily take on multiple hosts.
Ultimately, whether or not Parallax could control anybody depends on whether or not he can control Annihilus. Let's say that he could control Annihilus, it would not make a lick of difference, because Parallax can be countered by the infant terrible. In fact, -any- one character in this fight can be countered by him.
Except he can take Annihilus, and ones he does, he can do so with anyone else he want.
The problem is that you think that the SCW are weak, yet 4 of their regular members have more power then a supernova. You also think Parallax is weak to has no AOE. That;s totally the opposite