latency issues exist with your ISP and bandwith.
CRT , LCD , LED , Plasma , and DLP screens types dont create latency issues.
As for re-fresh rates 120hz 240hz and higher these are aimed at reducing the "motion blur" that can interfere with your HDTV's picture quality, particularly during fast-moving action in video games and sports events, for instance. In the past couple of years, refresh rates were bumped up to 120Hz, from the previous standard of 60Hz. Now, TV makers are offering sets with refresh rates of 240Hz or higher.
Blurring can happen on any FAST image on any type screen... some games add blur effect to produce a false sense of moving fast...
Such as TUBO boost on car games. This does not affect latency.
As for playing a Shooting Game in 3D well.. imagine one eye will recieve one image and the other eye another... by the time your brain puts the image back into 1 image... which happens faster than you could possibly imagine faster than the speed of light... it's still not fast enought for your brain to send a signal back to your fingers telling you to shoot at the image you see. So ... shooting games in 3D have along way to go...when your talking about Passive 3D which is what the LW6500 is.
However the Active Shutter 3D seems to do all the calculations for your brain.. and the image you see should be the image you shoot.at .... but thats still debateable..
Hope that helps.