2-of-3 paper backup

[coiny64]

Dear all,

in https://bitcointalk.org/index.php?topic=139625.20 is a in-depth technical discussion about 2-of-3 paper backups. What I do not get: Why not print out two backups, and cut them into exactly the same three pieces. Then deposit pieces 1&2 at your home, 1&3 at your bank, and 2&3 at your attorney. Does this not give you easily a 2-of-3 paper backup?

Kind regards,
Sebastian