In reply to Neil Williams:
I'd expect the effect of this to be dependant on belay technique; how far to the left or right the brake rope is held whilst belaying; whether the rope is threaded on the dominant side of the belayer, and of course, whether leading or bottom roping.
An ATC or Bug style device with the rope threaded through this way will work fine, in the sense that no-one dies, just may be a little more cumbersome. Try it on the ground with someone weighting the other end of the rope and see!