I went through two overseas moves (actually one round trip and a move from NYC to Houston). In all three cases, the packers 'packed' the bikes.

They turned the handlebars 90 (parallel to the frame), they removed the pedals (in one trip they screwed them on backwards (facing inward), in the other cases they stuffed them in the existing panniers.

They wedged the bikes between softer boxes.

Although in two occasions (1 overseas and one in the trip to Houston) the contents shifted, the bikes were undamaged.