Hi Max,
That's a really lovely feature and a mark of the quality of the piece.
I've heard two explanations for the reasons for udenuki ana (sorry if this is mentioned above, but I've not read to the top of the thread): for a lanyard to attach the sword to the wrist so it didn't get lost in the heat of battle or to attach a fine thread between the tsuba and the saya.
The point of this being that, should the owner be tempted to draw his sword in anger, there was enough of a pull on the sword to give him pause for thought and reconsider the action that he might have taken spontaneously. Obviously the thread would not be so strong as to prevent the sword from being drawn should the need arose. Both of these reasons my be apocryphal and I can't reference them so treat accordingly.