^^^ Huh...that symbolism never occurred to me at the time, but that sounds pretty plausible, now that I'm thinking about it. If that's true,
this may mean that Jon Snow becomes the embodiment of both Ice and Fire - Ice, being his home for many years in the North and at the Wall, and Fire, for supposedly being brought back to life by Mellisandre after the assassination attempt using the power of the Red God, once she realizes that he is the true second coming of Azor Ahai and not Stannis.