I don't know how I'd manage needleturn without the toothpick stuck in my mouth. The needle simply does NOT sweep those edges cleanly underneath like the toothpick does.
I think I prefer preparing the pieces with starch (I use Templar and remove the templates after the edges are all turned) and then gluing and pressing the pieces into place. No pins or loose edges for the thread to catch on, no turning to do as I go - everything is already right where it belongs. It takes a lot more time to prepare the pieces, but that's sort of a trade-off. If I didn't spend all that time preparing the pieces, I'd spend a lot more time in the stitching process.