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

Very interesting question.

On the whole, if the music moves me, then I would probably listen to it and I wouldn't boycott Qobuz if it was part of their music library.

However, when it comes to replacing actual musicians, that's where the issues begin. Much like replacing actors with AI CGI, replacing musicians with AI is inherently offensive.

Until AI is capable of actual creative genius, as opposed to merely clever mimicry, it will never push creativity forward or have the ability to touch our souls.

Not intentionally. 

Emotion, imagination, skill and intelligence are all utilized to play and write music. Does AI have all these?

People really underestimating the abilities of AI going into the future. We are presently in the infancy stage of AI, AI will replicate all the emotion, imagination, skill and intelligence of living breathing humans ,however,  it can never be a sentient being. The question is, will that matter in the long run? If people perceive it as a sentient being isn't it a sentient being?  Some already interacting with robots as sentient beings, I expect human's relation to AI to only expand into the future, expect long term emotional relationships. Our emotional involvement with AI generated music will become ubiquitous and accepted given enough time, easy accomplishment vs. a personal friendship/relationship.

There will probably be many Zuckerberg-like, non-musician nerds getting rich from generating music through AI in the future, and some of it may even be good.  Good for them I guess, but I’ll never respect or wanna meet them, and I’ll damn sure never go see a buncha bots perform live music.  People will always be the heart and soul of music whatever AI brings to the table.