Does the author decide which illustrator is used?
No – though, they may suggest an illustrator. It is the editor’s happy duty to offer the text to an illustrator, according to the strengths of the illustrator. These strengths are to do with their brilliant ideas and groovy art-style. These strengths may also include reliability as far as deadlines go, and a pleasant, easy-to-get-on-with nature. And a child-like sense of humour. (As well as the simple ability to imagine and draw).