It really depends on person. I had experience with great docs and with shit docs. Some care, some dont. Thing is that when it comes to T, there is simply not sufficient research or even awareness. When it comes to ENT, most of them are aware that given that there is no cure for T. Two, T is caused by something dangerous in extremely low percentage of cases and that can generally be rulled out by CT scan (that should be general MO for any ENT doc when patient comes with T anyways). Three, ENT generally checks your ears and sinuses. For most times, he can most likely easily link it together with onset of T. If not, off you go to audiology.
Anywho, from many of ENT doc perspective, T is intrusive psychological aspect, but generally not dangerous physically and dangers can be rulled out easily. What many complain is that ENT docs arent aware of habituation treatments. These are however few and far between and even ENT docs at T clinics many times arent doing enough to inform their colleagues about their very own existance in first place. My first ENT doc wasnt even aware there is Tinnitus clinic in my own city. I had to google it. She was really surprised, never heard about it. And this is city with half a dozen hospitals where generally all ENT docs know each other. And many ENT docs tend to dismiss psychological affect of T on patient as something out of their scope and at most reffer you to therapist. Holistic approach to treatment of T is something that only few docs around globe knows and even in their cases its mostly because they saught information and education themselves so they can perfect their skills and help T patients as much as possible.