Yeah, this is a great tactic for those inclined. I'm afraid I'm too impatient. I can type much faster than I can write long-hand, and there's a better chance of my being able to decipher it later. :)
It depends what you're writing. I find the writing time to not be a big impediment - for creative writing, I have to think about what's coming next anyway. If I were writing other things, it night make more of a difference.
For me in creative writing, "what happens next", tends to appear in large batches of inspiration, and I really want the high bandwidth of a keyboard to make sure I can record all/most of it before it decoheres. It's a personal thing. I always respect those with the patience to draft longhand. :)
Fair enough! I'm writing mostly things of a short nature -- this class focused on satirical writing, so under 1000 words. I've also done some sketch comedy, so perhaps five pages. It might be very different if I were writing anything longer, that didn't require tiny pieces to fit together.
While nobody makes actual physical typewritters anymore (to my knowledge), they can be had used for very little, so you could have the best of both worlds by writing your drafts on a typewritter.