By third hand, techknight was referring to the two solder method, not the twizzer-solder/twin-pencils method.
Anyways, I see what you're saying Trag, and yes there might be stress while twisting if done quickly and abruptly, but if there's any stress it's on the pads, not on the motherboard, even with glue. However doing it slowly I've never seen enough stress to threaten the pads. It's always the cap that pays the price, which is of course the target of the dissection.
As for the the newbies and the pencils method, I disagree, simply because most people don't have the hand stability (like I did when I started) while grabbing the cap and trying to keep the ends of the pencils on it, and they eventually make a jerky movement forward or backwards as they try to rebalance/reposition their hand or even their bodies (because they've not been used to holding an instrument which requires lateral pressure and targeted accuracy all while being in an angle, and at the same time waiting for the solder to melt) and end up scratching the motherboard and other pads and traces. So many traces have been damaged this way in my opinion.
On the other hand with the twist, it's easier since there's only one grab and then rotation at the easiest orientation/angle: vertical. No balancing act until the solder melts and then the glue and no need for testing to see if the thing is moving or not, no angle to hold the instrument at, no noxious fumes from melting the plastic base of the SMD cap, etc.
Finally there's the cost. Pencil irons (a good one is at least $30-40, right) vs. a pair of pliers which everyone has at home.
Anyhow, people can read the facts and try either of these methods. I personally suggest the twist because even though I've the ability to solder/desolder down to 0603 sized SMD components (check here for sizes:
http://upload.wikimedia.org/wikipedia/commons/f/f4/SMT_sizes_by_Zureks.png) with even a regular iron, I botched up many desoldering jobs on SMD caps when using irons, while after I started going "medieval" on them with the twist method, I've never messed any.