Whether this works probably mostly hinges on the question at what age re-expressing the misbehaving gene can still restore the problem. While AAV appears safe to use here as a vector, its cargo capacity is small (about 5 kbp, if I remember well), but it can still be used for more subtle gene corrections (CRISPR). It is rather fortunate that the inner ear is so small, relatively accessible and about identical in other mammals (so mouse studies are predictable). On the downside, there are indeed many types of mutations, and each cure will need to be trialled separately (so nothing will be done except for the most frequent mutations, and even then there will be cost/benefit issues). On the plus side, some genes (like neurotrophic factor) may also be used for acquired deafness (a huge market).
As you say, all well in the future…