It’s all about your dynamic range. Take one frequency of sound, say 1000Hz. With normal hearing my dynamic range is probably about 0dBHL - 110dBHL. Yours could be 30dBHL-100dBHL. So thus your range of hearing at that frequency is less than mine. You still want all the same sound information as I do, but you want it squeezed into a smaller range.
The problem that many people don’t realize is that often, when their hearing gets worse, it’s not just the threshold (quiet noises) that change, but sensitivity to loud sounds alter too. So often a person can have a hearing loss, but also be far more susceptible to finding loud noises uncomfortable than someone with perfect hearing.
It seems counter intuitive. You’d think that a hard of hearing person would welcome louder sounds, it almost seems like common sense. But due to some of the hair cells in the inner ear providing less protection from loud noises, often hard of hearing people can be more sensitive to loud noises.
So a modern hearing aid tries to take into account the dynamic range at all frequencies. That’s the beauty of the test I recommended you take. It will teach the hearing aid what is acceptable to you and what is not. Without programming this information there is no way the hearing aids can ‘know’ what you like and what you don’t like.