Maybe not as quick a draw to clear the sheath
compared to a side or front carry
but it would be whipping around in a pretty
quick arc by the time it reached the front of the body.
Just right for blocking across the shoulders and face.
Point leading initially, then
edge leading and point down, or
edge leading point up/out.
Historically,
Chinese swords were often carried in a position
requiring the owner to tilt the scabbard mouth
forward or to the side in order to draw the blade.
Blade comes out working hard.
The Japanese made an art of drawing the blade.