I don't see a world where programming isn't the last thing to go. We pretty much have a general intelligence when a "programmer" is no longer needed. That doesn't mean programming will look anything like it does today in 200 years but will the profession, doing kinda the sameish thing, still exist? Absolutely!
It's interesting to think about. If programming can be automated away, then you can use that automation to automate away any job in the world that can be automated.
