Anyone who believes the objective quality of the end result is the sole end goal of all tasks will have no self worth when technology surpasses them. This is true for essentially any task, because there is almost no end result that cannot be done "better" by technology.
However, the blog post explains that this is the wrong way to think about writing. The very first point made is that writing makes you understand your subject better and develop better ideas.
Characterizing the argument as 'thinking oneself to be Shakespeare' is a silly strawman and helps nobody.