Unless I've misread or misunderstood something the term 'activated HQ' is to describe an Init Chit or Army Reaction used to activate an HQ to move other units near it. A single reaction move can be used to move an HQ individually and so the chit is flipped over to show it's limitations.
The German reinforcement aid shows some HQ's coming into the game on their single reaction move side. Why? Any HQ's status at any time is only dependent on how it's activated, right?