As others here mentioned, pain creates stress, which can lead to a variety of additional illnesses, but in and of itself does not seem to shorten ones lifespan. In the case of TN, however, or any chronic pain condition for that matter, depression is probably the biggest health concern and can certainly cause early death!
I have atypical TN. I don't have episodes where the air touches my face and I get sudden shocking pains for a few moments; I get pain in and around my ear, jaw, neck and cheek and can last non-stop for days. Sometimes the pain is only a 5 for one day. Other times its at 9 for two weeks.
I can relate some to your sense of hot ice. I get the sense of icy heat sometimes running from one ear through my head to the other ear, like someone stuck a hot ice pick through my ears, but no sense of wetness. I guess there's all kinds of different ways to experience this delightful condition!
Relax--It only hurts until you die
I'm still walking upright and six feet above ground.