Lately the only time I hear my very high pitched Tinnitus is when I read about Tinnitus! Like right now!
However I guess it is yet another difficulty and importance to distinguish between additional tones (in harmless and only temporarily annoying cases as many probably experienced them during slight sudden hearing losses, which often go together with more or less a pure sine-like tone, considered to be pretty normal and independent of age but may persist in not so great cases) and the regular "idle background noise" which, according to experiments, absolutely everyone has, at latest when put into a soundproof chamber for a while.
I'd claim that to some extent, just like with visual (retinal) noise, it is perfectly normal to always hear something if the surrounding SPL is only low enough as any physical system will exhibit noise which in everyday's life is mostly filtered out of the perception.
Your very high-pitched one "sounds" quite familiar and known since forever in my case.
In general, I comfort myself with the fact that noise actually has advantages (as used in dithering), just like you mentioned in one of your review videos. Not only may noise "simulate" higher resolution / sharpness; in terms of quantization, it actually removes any stairsteps by spreading the error into randomness and thus decoupling it from the input signal (with images, it prevents banding).