I recall a chambara movie about a samurai who kills his best friend at the instructions of the corrupt councilor. In the fight, he loses one of his eyes and his right arm. Afterwards, he becomes a ronin and moves to Edo. With only his left hand remaining, he develops a reverse draw from the saya, still worn on his left hip, and eventually uncovers the councilor's plan to cover up his own misdealings by having him kill his friend.
Anyway, the sword work was really interesting. I know it was only a movie, but the idea that he would continue to wear the sword on the left and to develop a reverse draw rather than to switch sides is so typical Japanese.
It's similar to western archery versus kyudo. The long bow is incredibly inaccurate and difficult to use. The western approach was to continue enhancing the bow until they developed shorter, more accurate, and easier to use bows. The Japanese approach was to develop better archery skills while still using the inefficient long bow.