As someone who has mostly overcome my stutter through sheerly not caring about it, there are mixed results. I don't stutter much, and the only people who bring it up usually do it because they think I'm faking it or to compliment me for how confidently I talk. 29 days a month, I don't even remember I have a stutter. As a result, I also never think about quashing the last remaining stutters, so I just keep doing it. In other words, being completely comfortable with my stutter, I stutter much less because I'm confident--but I also don't fix what remains of my stutter because I forget about it.