If that were true, sounds would just get a little quieter, and you could just amplify it back up. In fact, hearing loss often creeps up on you by striking one pitch at a time, so that you can continue to think that you are hearing just fine, when a significant amount of hearing has been permanently lost. If you ever think your stereo system has begun to lose amplification, say get a little fuzzy in the treble, that's a strong sign that it s your ears, not your stereo. If your ears ring or buzz some of the time or all of the time, it's a good chance that you are losing your hearing. Hearing aids do not restore normal hearing.
Hearing aids amplify sound so that it's loud enough to be perceived.
It doesn't sound normal. With powerful hearing aids, you may be able to recognize speech and tell songs apart, but someone who is a real music connoisseur wouldn't mistake the sound quality for the real thing. The most common thing among deafened people is for the mind to continue to play the same music after the hearing is lost. Hearing people have songs running through their head but you can turn it off or change it by listening to other songs and you can add new songs to your stored library of songs. Deafened people tend to have the same song running for days, sometimes weeks or a whole season, and new songs are never added.