I have not tried to hide them per say but I have tried setting each item visible to no one but it leaves the menu dropdown icon. I will try hiding each item and see if that works.

Andrew, in this case, hiding the items in the set isn't hiding the menu. Apparently it's coded to where the container will still remain for the menu even though the items are set to hidden. I think the only way is going to be an if else for the menu & container. Also, to unhide as shown in the screencast, it doesn't allow me to unselect them all. I can click on any of them I want to hide but it only allows me to select not unselect. So I can click on Tablet and then click on phone and phone will be selected but I cannot unclick phone. One of the three in the list will always be selected.