I don't think that the wire would be close enough to the glass to transfer the heat properly. Remember how we need to wrap the coil tightly to the glass?
If the Tube #OD is thin enough then all you have to do to get the wire tight is pull on both ends of the wire with a little wiggling it will tighten up the slack. Of course thicker wire will be stiffer and will hold the shape better than a thin wire. The problem I see it how can we get it to stabilize itself if you where to drop or bump the mod.