Here is my take on what might be happening. I think I have the logic right, but like I always say air brake systems are bloody complicated! I could well have this totally wrong, if so I hope someone points that out!

The QR1 in the emergency brake circuit is designed to allow the air pressure in the emergency/parking brake chamber to release quickly when the brake is released. Air flows through the QR to the inversion valve (via an 85 PSI pressure regulator, the same model as your buddy the pressure regulator on the belt tensioner, hence I carry a spare). The inversion valve normally supplies air to the locking section (front air hose) on the DD3 and keeps air away from the parking brake section. That keeps the shaft lock open, and lets the service chamber work. When the parking brake is applied, the inversion valve switches, and sends air to the parking brake section (the rear port on the DD3) and takes air away from the locking section so it can lock the pushrod shaft in the extended position.
the only time you are supposed to get air exhausting from the QR1 is when the parking brake has just been released - air rushes out and lets the parking brake off. If you are getting air at the exhaust of the QR1 when the parking brake has just been applied, then the QR1 is leaking pressure that it is supposed to be sending down to the inversion valve. If you are getting air when the parking brake is off but the service brakes are applied, then air is leaking at the DD3 into the parking brake chamber from the service brake chamber. Suspect a leak in the parking brake diaphragm on one of the DD3's. If you are getting air exhausting at the QR1 when the parking brake is off and the service brakes are not applied, suspect the inversion valve - the only thing that has air pressure at that point is the locking port on the DD3, to keep the push-rod shaft lock disengaged - and it's not all that likely that air is going to leak past the locking section seal, into the main service chamber and then into the parking brake chamber to get to the QR1.