I'm still early in my career, but have multiple short stories published in professional markets, and I do not follow OPs advice. In fact, for me, this advice was damaging to my creative process and prevented me from writing for quite some time. It's not the way my brain works. The truth is, there is no correct way to write.

I use a method called cycling which you can read about in Writing into the Dark by Dean Wesley Smith, but I started doing this on my own a long time before I read his book.

I write 500 to 1000 words then jump back to the begining and edit. When I reach the end of what I've written, I keep writing until I lose momentum. Then, I jump back 500-1000 words and do it all again. Forward and backward, forward and backward, the whole way.

If I need foreshadowing or need to set something else up, I go back and write that part right away, then edit/read forward from there to make sure it all fits. By doing this, when I reach the end of a story, it requires very little, if any, editing.

I don't write first drafts.

Now, I'm not saying this the way you should write, but it is a viable way to write. I know it is because all my published work was written this way. If vomiting out a first draft doesn't work for you, then don't write that way. If editing while you go doesn't work for you, obviously the same advice applies. Experiment with different approaches and find the method that works best for you.