They do, so long as whichever hearing device you get as tinnitus management support. The big manufacturers like Phonak and Oticon all come with some tinnitus support in their devices.

That being said, even without the noise therapy/tinnitus management, wearing the devices ensures the auditory nerve is receiving adequate stimulation across all speech frequencies. Tinnitus often arises as a result of hearing loss (but not always), but in those cases by ensuring you are hearing all frequencies at an adequate level, the brain can start re-wiring back to how it was before the auditory deprivation kicked in and the brain had to start hype-rtuning itself to compensate for the lack of input arriving from the nerve.

the hearing dept at my local VA will issue hearing aids for tinnitus, but they don't make it quiet.

what they do is Bluetooth to your phone and stream music at just above the tinnitus level. there's no way to make it stop, but playing music sure helps to cover it up.

it's not 100%, but it's still a big relief

I think we can all agree that someone scratching their nails across a blackboard is an extremely annoying sound that you do not want to listen to for more than a few seconds.

Now imagine on the other hand that there was someone also standing in the classroom playing a beautiful piece of music on a violin or guitar or piano so that you couldn’t hear the screeching from the blackboard. That’s how hearing aids help with Tinnitus. They don’t eliminate the Tinnitus but they help you hear other sounds and give the brain other auditory inputs to process which in turn help “mask” the noise from the Tinnitus.

Either way, hearing aids can greatly help your Tinnitus so you should go check them out.