After the confusing (and arguably unnecessary) new "style class" implementations, I can't add anything inside an icon-list with the component template editor without it altering all instances of that icon list! This unfortunately is nothing but intuitive. I can't find any way to edit an iconlist's internal structure of only one instance (which happens to be the most important way of editing any view component structure)!
Sorry for the rant, but I'm so confused right now that I'm blaming even the styles classes for just suspecting somehow it's propagating the changes I make on one place in all pages...
Just now guessed my way out of this adding a property to make an icon I included inside an icon-list visible or invisible.