What is the solution to the problem as you see it?
Preferably, don't pipe music into public places, or,
minimally, turn it down/off if so requested. If someone wants to add music to a situation they can always use a personal stereo and headphones. Unfortunately, there's not yet a personal system that will provide silence.

And doesn't the solution have to consider the right of music selection for the owners?
No. If he is in business, he needs to put the interests of his clientelle above his own. If he wants to listen to music, by all means he should be able to listen himself, but he shouldn't inflict it on clients. Again, a personal stereo would work for this. However, this line of thought is alien to me - I would think that the owner of a store would be wanting to concentrate on running the business while on site, not enjoying music.