There is one section that makes me unsure. I have heard arguments and choices that fall on both sides of the argument. The errata is also unclear. A Dev answer would be nice.
P.195
Using Psychic Powers.
"Step 3: Resolve Power Results"
The real question is, would following the order be considered resolving the power?
Edited by craftomegaIf you want a Dev answer then you need to contact them through the proper channels:
https://www.fantasyflightgames.com/en/contact/rules/
As I've understood it they act on their (the dominated's) initiative based on the psyker's desires.
I recently ruled at my table they act on their initiative, just to keep things simple. No changes in action economy or giving them possible extra actions, just an influence on what they do when things can be done.