I have personally had old tones and high frequency ringing fade on steroids, and then new noises (not pure tones) appear on tapering.
I feel noise, while on steroids, had a lot to do with it. My ears seemed much more liable to gain tones if I was around noise. These "caught" tones all since slowly faded away to nothing post tapering.
Whenever I'm on steroids, my other "normal" noises ALL change and become a nightmare, especially on taper.
The new noises on tapering (low frequency wavering) have been with me for years (not a worthwhile trade whatsoever).
Dexamethasone is better to use than Prednisone, better results in not fucking with my tinnitus. Dexamethasone is stronger but it also doesn't screw with fluid balance like Prednisone does.
Unless you absolutely need it, I'd begin tapering. Slowly...!
If you really really need it, if it's for inflammation, maybe consider switching over to Dexamethasone? Equivalent dosing needs to be taken into account.
I don't mess with steroids nowadays unless I lose hearing or I'm going to die without them.