There is a lot more to hearing damage than just haircell damage to consider (such as synaptic damage).
From what I've read on this forum, it seems that very frequently people who have noise induced tinnitus develop somatic elements to their tinnitus. I don't have any references on hand, but I've read things along the lines that the theory is that this is how the brain (mal?)adapts to the loss of proper audio sensory input, by picking up sensory input from somatic elements where it didn't before. Sort of like a mix of brain plasticity and phantom limb syndrome following amputation.
Somatic tinnitus has happened in isolation, but I haven't read much about that, and I get the impression that this is usually experienced as pulsatile tinnitus, but I'm sure it varies. But it is very common overall to have people be able to change their tinnitus by moving their jaw and the like.
If you are part of the minority who has purely somatic tinnitus, the good news is that this usually seems to be much more treatable, but I don't have experience with that, but usually people talk about getting their spine andmusculoskeletal stuff. I've heard about sacro-cranial therapy (IE Julian Cowan Hill type stuff) but a lot of people put some heavy speculation on that stuff. It might be worth looking into if you think it applies to you.