Most possessed have short H attacks. They may not use them immediately at the start of combat.
I have been playing for 3 hours and I didn't see any H attacks except tutorial at the start.
Yes indeed there was a bug, I'll fix it.
Thanks for the feedback!
They don't use them at all. I've played till chapter 3 and not a single one obsessed used a H attack. The only one who used sort of H attack was Cell. He used some sort of corruption wave