The creators say:
We created fuzzmail because we wanted a more emotionally expressive alternative to email, so that an emailed love letter does not have to look the same as a business letter.
I'm not sure if they've succeeded. Do I want to let someone see my thinking as I wrote to them? Sometimes when I edit it's to be clearer but in an email it may be that I want to be more tactful. That's not going to happen if someone can see my first thoughts.
It could make for some wonderful fiction though. You could show a character's real thinking and what he or she presents to the world and how different they are. I had a go at it here. If you do one, maybe you could post the link in the comments and we can all see it.