Most tadpoles don't have a rear brake just for this reason. To appreciate the situation once the rear wheel locks up, imagine the tire sitting on a sheet of oiled glass. If any sideways tilt exists (such as road camber) the wheel immediately drifts towards the low side. Countersteer all you want, it doesn't matter. The rear wheel acts just like a pendulum swinging towards the lowest point. If you're headed downhill, then suddenly downhill is the lowest point and it will gladly swap ends. When it's skidding, even a little sway in the road surface that gets your weight shifting a bit is enough to launch the rear wheel sideways.
The launch itself isn't what gets you. It's what happens when the tire stops sliding. It doesn't necessarily need to be enough traction to cause the trike to flip. If the trike isn't completely sideways, when the wheel grips again the trike will happily take off in whatever direction it's now pointed. Problem is, it goes on the new heading quicker than your body mass can respond. That is, you keep going the same direction you were a second ago, except now that direction is sideways and off the seat. Naturally enough, you cling to a handlebar to save yourself and end up pulling the trike over with you. Because the center of gravity of a trike is usually pretty well centered front to rear, when they begin to slide out they rotate about the CG amazingly fast.
MT