It should be possible for each "icon" to have its icon set independently, even if they point to the same app. I just put an "application shortcut" to my gmail account on my desktop. To do this, I had to set the icon to call Google Chromium with --app="https://<gmail url>". The application shortcut works, but in order to set it's icon to the Gmail logo, I had to also set Google Chromium's icon to the same thing. They should not both have to have the same icon. Please add "per icon icons" to ROX.