Well, I think my unconscious (I'm a Jungian, so that's what I call the subconscious
) already does most of the writing work for me--such as the time that an unplanned event around Chapter 90 led to a problem solution about a hundred chapters later--I don't plot my entire stories out ahead of time, but things seem to fall into place. I just seem to look ahead far enough to make sure there are no cars barrelling at me around the curve, though I have no clue what the view will look like once I drive around it myself. Somewhere, my unconscious seems to know, but I myself don't find out until I get there (by writing it down on the page).
Seeing as getting correct punctuation and capitalization and such is just second nature to me--an unconscious process--I'd find the technique here to be terribly distracting. I don't
want to turn off my inner editor because with this stuff coming up from my unconscious,
somebody has to be on hand to type it out properly and fix the little details. In short, I see it as more of a team effort, rather than the unconscious or the inner editor getting the upper hand and making writing impossible. Plus, it would leave a mound of stuff for me to edit later, which would just be terribly tedious. My inner critic perpetually nags at me but for me it's more of a general self-confidence issue than a writing issue, and it hasn't stopped me from writing so far.
BUT, that is just me. I can easily see how the technique can help somebody whose inner editor
isn't willing to be cooperative the first time around. Some people really do need to give themselves permission to be messy in order to get something done, so best of luck, I hope it helps.
I mainly replied as I liked the comment about letting the sub/unconscious write for you when that's already what mine is doing.