While I disagree with Michael on a number of points, there may be a lot of different types of tinnitus that we have yet to identify or differentiate. (This is paraphrasing what a neurotologist that works in tinnitus research told me.)
Is it the hair cells that are damaged, is it the synapses, or is it both? The etiologies may matter to some degree, but I don't think anyone knows at this time. I don't think any one type of tinnitus or one etiology is objectively worse than the other, and avoiding adding insult to injury is probably a good idea for everyone with hearing damage.
I have even less information about this, but I suspect the same is true for hyperacusis.