Fuck yes they do! Let me start by saying, Im a very heavy handed player. I have never been able to keep my Strats in tune when I use the Whammy... Then I got 50th Anni Dlx w/ locking tuners. The bridge on that guitar always stays floating and I whammy the fuck out of. Not to mention Im so heavy handed when I attack the strings I get flutters even when I dont mean to.
But from my experience, on a properly set up strat with a new style two point trem, it works great! I am using the Fender Super Bullet strings with it, because they are so damn slinky feeling, but i think react well with the trem and holds tune beautifully. dont get me wrong, you may need a few tuning tweaks after a few songs but its definitely good enough for government work, and I vastly prefer it over Floyds. YMMV.