Yes it does fade or disappear for some people. Read up the success stories and you will find that a good % of people don't just habituate to T but that their T actually fades or disappear. So keep positive and have hope. Positivity will help you cope better and can help calm T because it needs your continuous negative emotions, the stress and anxiety, the fear and hopelessness to continue to fuel its fire and intensity.
The best way to calm the hyperactive neurons which fire up T is to keep calm (as humanly possible as you can), and live your life as normally as possible. Given time, the brain will slowly get the impression that T is not an end game (even though it can be highly irritable at the start) and so it is not a threat. With that you will not function in fight or flight mode of the limbic nervous system. When the normal parasympathetic nervous system returns, with the pre-frontal cortex of the brain taking over from the Amygdala (the fight or flight center of the brain) in processing the T stimulus, you will find better control of your emotions and T will not sound as threatening.
You will have some setbacks along the way. But time is on your side when you are on a good approach to tame T. Even if T doesn't fade, the brain will learn to fade it out of consciousness when busily engaged with things in life, so much so that you may not hear even the loud T. How is that possible? Well, remember when you were deep in watching a movie on a jet flight, often you wouldn't hear even the loud jet noise all encompassing around you because the brain doesn't treat jet noise as threatening. What if the pilot then announces that one of the engines is having trouble and the plane needs to turn back or to find the nearest airport for emergency landing, you bet every passenger will now zoom in on the jet sound and will hear every detail of it, worrying to death by its every change in tune and loudness. The fight or flight mode is turned on and we are stressed easily by the jet nose from that point on until the plane safely landed. So we need to play the smart game with the brain in our journey with T.