I can see Italy getting the Barbara Dex award, but for me in the context of their performance it wasn't the most notable/remarkable look of Eurovision. They had an androgynous punk look that to me very much fits with their song and their presentation as an act that had a confrontational edge where traditional boundaries were concerned, even if you didn't understand the lyrics. It does look weird but it never bothered me during their performance itself, unlike some other costume choices.
But of course, part of the beauty of the Barbara Dex Award is that we are free to interpret what criteria is involved in our own ways.