I do quite a lot of needle turn, and I chose it for exactly that reason, because it's not stuck down. It gives a more dimensional look, with the objects standing out from the background.
I love fusible too, but it is a much flatter look.
I use the freezer paper underneath and upside down, ironing over the seam allowance so it sticks to the paper, then remove the paper and sew the nicely pressed shape onto the background. It gives a nice turned over and smooth edge, without having to turn it as you go.
Another trick I learned, for those itty bitty corners that just don't want to turn under, use a toothpick that has saliva on it (not dripping, just a little wet)... it is much easier than using the needle.
:-)