But those people don't need to be programmers.
The reality is, that most software is complex, but trivial. It's s bunch of requirements, but there's no magic behind it. An AI that can turn a written text containing the requirements into a decently running program will replace tons of developers.
And since a future AI, that's actually trained to do software, won't have problem juggling 300 requirements at once (like humans have), it's relatively easy to trust the result.