Even if the cause of tinnitus is neural, or damage to the inner ear, perhaps it could be altered with bone conduction speakers? On the premise that any change to status quo might cause the neurons to completely re-evaluate their duties...
These two ([1] [2]; 2002 and 2020) say that bone-conducting and air-conducting transducers offer the same relief.
Since everyone, including this [3] seems to bury the results, I'm guessing that sound therapy isn't very effective.
[1] https://e-asr.org/upload/pdf/asr-200012.pdf (interestingly, this is Korean with English headings and captions. Is that common?)
[2] https://www.tandfonline.com/doi/abs/10.3109/1499202020907718...
[3] https://journals.sagepub.com/doi/pdf/10.1177/204062232095642...
No idea if this helps with tinnitus at all.
[1] https://www.flareaudio.com/en-eu/collections/calmer [2] https://cdn.shopify.com/s/files/1/1721/0649/files/ISVR_Offic...