The addition to alcohol into products is to bring emphasis to the fragrance note pallet in use. It simultaneously blends everything together during and after production. Making it a key component in the stability of the product.
Once the scent is sprayed the alcohol evaporates into the air allowing for the fragrance notes to be carried along with it. This is what distributes the smell to those around you.
Therefore, without this key element no one would even know you're wearing such a decadent scent.