There's always a way around this, and GP hinted at it. Instead of automating a difficult stage of a process as-is, you redesign the entire process, possibly including the final product, to make it automation-friendly.

This is how we deal with problems in general. If we can't solve them on their own terms, we change the terms. For example, designing an all-terrain vehicle is hard, so instead we've been beating the terrain flat, and paving it so that it stays flat, to allow a simple box with wheels to work, and we've been doing that since beginnings of recorded history.

(And speaking of paving - we're not placing random stones in the ground anymore; we're either pouring liquid, or laying stones pre-cut to standard size. Both are much easier to automate, and to some extent they already are automated.)

I can't think of a job so specific that wouldn't yield to competition from equivalent but normalized job.