If A.I. took the place of musicians, would you listen to it?

The overwhelming majority of music is not the work genius.  It's work and involves craftsmanship, but it usually involves working within forms that is fairly well defined and providing small variations to those forms.  For most listeners likable music has to sound somewhat familiar without sounding exactly like something else.  Music has to sound like you expect it to sound and when it doesn't it's hard to engage with.  AI should be really good at creating most music types and some of this generated music might actually sound "good".  But just like most human created music, most it won't sound "good".

In the late 1990s computers started beating grand masters at chess.  Somehow people still play chess.

The idea that music can really only be created by humans is very limiting.  Some of the most musical sounds I've ever heard were not created by humans.  A few examples:

water falls

a thunder storm, especially with lightning

bird songs

rain falling on the roof

tides crashing against the shoreline

various wind noises

coyotes howling

crackling fire

The natural world provides a myriad of sounds that are quite musical.  The may or may not be compositions, but they are organized enough to be readily recognized and they do incite an emotional response. 

hilde45, you should drop the whole intention angle. It’s misleading. The throbbing of a big twin motor is definitely music to the mechanic’s ears and only a few are immune to the heavy metal thunder -- intent notwithstanding.

Btw, very nice thread you started!

Yeah, that's about right, but it's not a yes/no proposition.  The intent of the artist can add to a listener's appreciation of the art work and it can also be completely irrelevant.  Can a person enjoy the music of Charlie Parker without knowing anything about the chords and scales he's using?  Can you enjoy Max Roach or Sonny Rollins without understanding the Civil Rights Movement?  Can you listen to Bach and not be a monotheist? 

A freight train is rolling on the tracks and the engineer in accordance with Federal train regulations sounds the train horn as he approaches a road crossing.  As Warren Zevon put it, "listen to the train whistle whine".  In and of itself it's music and the train whistle has inspired people to create even more music.  It's a wonderment!