If you Reincarnate or use a power like a graveknight or lich's Rejuvenation, what do you think would happen to minions such as those from Animate Dead or Craft Construct?
Would fully dying cause a disruption in control?
Whatever counts as "death" still has to come before Reincarnate or Rejuvenation... so whatever happens upon death is going to happen.
What happens to Undead when whatever animated them dies?
What happens to Constructs when their creator dies?
I think you would have to re-establich control. I would probably give you a circumstance bonus to help you do so, but I do believe the original connection would be broken by death.