Not really a contradiction, since the entire point of jobs and the economy at all is to serve the specific needs of humanity and not to maximize paper clip production. If we should be learning anything from the modern era it's something that should have always been obvious: the Luddites were not the bad guys. The truth is you've fallen for centuries old propaganda. Hopefully someday you'll evolve into someone who doesn't carry water for paperclip maximizers.
Zero labor cost should see the number of engineers trend towards infinity. The earlier comment suggested the opposite — that it would fall to just 1000 engineers. That would indicate that the cost of labor has skyrocketed.
What difference does that make? If the cost of an engineer is zero, they can work on all kinds of nonsensical things that will never be used/consumed. It doesn't really matter as it doesn't cost anything.