In my opinion, instead of using a processor to compress concert music for background listening, one should simply select background music for use as background music. Handel's Water Music is a good example of background music. It is an excellent choice for that purpose. It was written for that purpose, and is therefore quite suitable for it.
You're right, Handel's Water Music was originally written to be played as background music at royal parties aboard ships docked in the harbor. The problem was Handel's music sounded too good for background music, and it's become a classical music masterpiece. I thought it was background music too, until I tried it. It's way too demanding.