For some, this is an important aspect of art appreciation, and I would expect those people to continue to gravitate toward human produced art. For other people who don't have that background, and don't think about those things, the difference won't be relevant to them, and they'll judge the end product based on their own personal and arbitrary criteria. What's interesting about an artwork to one person makes it banal to another, and no amount of academic study or criticism will change peoples' tastes.
Let's not forget that often creators themselves aren't always actively thinking about composition, texture, color, etc, and part of the work for them can be as black box out of their subconscious as the creation of a neural network.
Similar to people being fooled by white wine dyed red, I think we'll also have critics who remark on how absolutely human a work of art has to be due to X/Y/Z, only for it to be revealed to be an AI work. That I think encapsulates a lot of what I look forward to in terms of the debate over what exactly about art is human-specific and what it means for something, human or not, to have artistic capabilities.