It's the drive side that comes undone on Italian threaded BBs. I know because it happened a few weeks ago on my bike. Basically the bearings go the opposite direction from the axle rotation (ie they go anti-clockwise on the drive side) and this undoes the bearing cup. That's why British threaded BBs use a reverse thread on the drive side (because British engineering rules the waves - the Italians do nicer paint jobs though).
It's the drive side that comes undone on Italian threaded BBs. I know because it happened a few weeks ago on my bike. Basically the bearings go the opposite direction from the axle rotation (ie they go anti-clockwise on the drive side) and this undoes the bearing cup. That's why British threaded BBs use a reverse thread on the drive side (because British engineering rules the waves - the Italians do nicer paint jobs though).