It kinda funny, Hearing loss, and losing balance. But it is related. The part of the brain that helps with balance it right near the ear, if I remember right.
Plus, using surroundings to keep balance also helps too. I am hearing, and I know in day time, while working on a trailer, I will lose my balance. It is due to the trailer next to it moves. I see the other trailer in the corner of my eye and think it is the trailer I am standing on that is moving, not the next one over. That can be related to at night, which with deaf ppl, they can't hear stuff to start with and their eye sight is limit due to the dark. That good reason for that.
Also think of it this way. If someone cuts off your pinky toe, your balance is thrown off too. Now, that toe is small and it gets in the way more then it helps. If that is the case, being hoh or deaf and losing your balance at night is believable.
Then again, it is also depends on the individual how well their balance is to start with. I am sure there are deaf ppl that have better balance then me at night too.