You do not! It is a little longer than before, but I think this is currently the quickest way to get more codes:
1) Use this link to start the game:
http://adisney.go.com/disneypictures/pirates/pirates2_shell.swf?startLocation=flyingDutchman
2) Click on "Skip Intro" to go to the screen with Davy Jones.
3) Click on the keyhole on the door and then on "Arrr!" on the drop down message box to go to the organ.
4) Click on the organ keyboard and then on the A-C-D-C-A-A-A-G-G-F keys to play the song. This will take you to the prize screen.
5) Click on the "VMK Code" link to get your code and record it in whatever manner you choose.
6) Now if you look at your browser's address bar, you will notice it still contains the code used in step 1. Click "Go" next to the address bar (in Internet Explorer anyway) and you are now ready to start over at step 2.
This is only slightly longer than the old way of using the ship wheel, because you have to play the organ each time.