That really should depend upon the output.
Many, if not most, people learn an art by imitating the style of established artists. Some will carry on with that style. Others will develop their own, though it will probably always carry elements from those they imitated. Should injecting a machine into the process automatically make it illegal?
There are going to be clear cut cases where it should be, cases where so much is imitated that it goes beyond style and into substance. Yet that means we should have a human looking at the output to determine if it is too close to a copy, rather than banning AI generated art altogether. To do so would put the creative process in peril. This is not because machine learning reflects our definition of creativity. Rather it is because it is difficult to define what human creativity itself is.
(That said, I do believe that using the artist's name as a way of promoting their own work is stepping over a line.)