I think a major difference between math and software development is that software development tends to get easier after one gets through the educational barrier to entry, whereas math (and many other topics) become more complex/puzzly. Something that could highly accurately revert to the mean would be insanely useful when the overwhelming majority of what you're doing is mundane and has been done a million times before - the analog of something like basic arithmetic or calculus.

Take for instance most CRUD apps. They're all doing basically the same stuff just with variations on interface/schema. And that's a huge chunk of all professional software development. We're already at the point where you can describe said schema/interface and get a pretty good implementation of it, and things will likely continue to only get better. I think the job-apocalypse is unlikely, but I also think it's unlikely that 'manual coding' will be anywhere near as significant a part of the economy in the future as it is today.