Damn, by placing proper .desktop icon in correct place inside ED image, You - basically - create program shortcut (available from LXDE panel). .desktop file is pointing to correct file in /usr/bin (orientation script), and to correct icon. You should be even able to remove this icon from panel, then, add it again manually from scratch, as it's listed in Ed programs shortcuts.

So, what could go wrong in Your case? Are You sure, that location of all files are correct, i.e. no 'duplicated' paths, etc?

Anyone else having this problem?

/Estel

// Edit

I also think, that sulu's proposed option 2 is best - if someone want shared $HOME, she/he can always set it in script executed on every chroot. Default settings should be different home's.