It was mentioned earlier that LS cannot use applescript. This is false, You have to enable Allow gui scripting and scripting addition in preferences under security.
This is not true at all as you illustrate in your post. GUI scripting is scripting of the GUI, i e it's the graphical interface that uses scripting, not an app. Scripting of a process resource like an app means the app itself must support scripting by having a Dictionary. Does Little Snitch have a Dictionary? Does LS execute scripts?