That seems an expensive and fiddly way of making your point. NJ, but the theory behind the idea's not a bad one.
If it was a child of mine threatening to leave, then first of all, I wouldn't be drawn into a shouting match. I'd try and remain calm, and tell her to go out, if that's what she really wants to do. It must be worrying, mattymatt, but if there's no scene, she's more liable to return home once she's been out and done whatever. On return, I'd ask her if it's cold outside, in a normal manner, and then continue to go about your business in silence, or as though nothing's happened. Arguments rarely get you anywhere, but expressing your love and concern when she's calmed down, might. I'm basing this on personal experience. I led my parents a merry dance when I was that age, but they never complained. I could just sense their disappointment by the way they acted towards me, and once I thought I could please myself, the excitement of doing my own thing lost its attraction.