It definitely depends on the surgeon and technique, but also on your own body. I went to Brassard in 2012, and I ended up with two visible scars, one down the middle of each of my labia majora, each about 2" long and 1/4" wide. It was pretty obvious when it was first healing (though I was amazed that there weren't any *other* scars), but at this point both have faded to a slight pinkish discoloration. I know what I'm looking at and exactly where to look, but to anyone else it looks like a natural variation in skin tone. I assume all the other stitches must have been placed in folds or else simply didn't scar.
I recommend looking at photos of surgeons' results, and in your case I'll even go against my usual recommendation that fully healed photos are better - you want to get a sense of stitch and scar placement.