I'm not sure the sources in the parent comment are making the argument that you are countering. Neither suggests to me the claim that using a touch typing website, in our case, replicates the complete process of writing literature.

The second quote in the parent comment is "If you type out somebody's work, you learn a lot about it." - the focus is learning more about the finished product. And I read "I just wanna feel what it feels like to write that well." as about experiencing the quality of the finished product.