Hi crossbones,
Congratulations on your new 3800 and welcome to the posting side of the Heartland Owners Forum. There's a lot of useful information here along with a great bunch of friendly and helpful people.
I'm not familiar with the Cyclone specifics, but I don't think the emergency braking is any different from other 5'ers. The emergency braking circuit is energized when the breakaway cable comes unplugged from the switch on the pinbox. In the breakaway scenario, power comes from the trailer's battery because it's assumed that the trailer has broken away from the tow vehicle, disconnecting the 7-pin cable along with the breakaway cable.
In normal operation, the brakes would not be applied unless you're stepping on the brake pedal in the tow vehicle, or manually operating the trailer brake controller.
It sounds like maybe the breakaway cable's pin is not fully inserted into the switch, allowing the switch to operate intermittently. Another possibility is that the breakaway cable is getting caught on something in the truck bed, or perhaps is too short and pulls the pin out of the switch a little when you make a turn.