Turns out Allelujah Haptism is not a Newtype (if that even turns up in the series).
This episode revolves around Allelujah dealing with his past. The HRL had taken children and modified them for war. Part of the outcome is that their reflexes are maxed out. The other part seems that some of the children become nuts and develop pseudo telepathic abilities with each other.
It’s a good episode and I hope they are not done with Allelujah just yet.