Oh that would make sense! And actually in this case don't even fill up the bottle, just let the empty bottle float on top, that should be even more effective!
It's not going to help actually.
Salt water does not stay warmer, it just freezes at lower temperatures, meaning that it is still in liquid form while being at a below freezing temperature. This in turns means that the water around it won't be warmed by it at all (everything will be at the same...