Can I add 'Stop Random Mix' to Favorites?

On the SqueezeBox Touch (and Jivelite) I can add both 'Song Mix' and 'Stop Random Mix' to the Home Screen:





Using the web interface, I can add the equivalent 'Random Songs' (from the Random Mix plugin) to my Favorites:





However, I can't find a way to add the 'Stop Random Mix' option to my Favorites in the web interface - is this possible? I can do it via the Random Mix plug-in (see screenshot below) but can't work out if it can be added to my Favorites. I realise that I can just clear the queue to stop Random Mix too, but I'm wondering if the shortcut shown below, which retains the queue, can be added to my Favorites.



Thanks!
Pete

Attached Images