I know LCDs have a problem with high speed action because the pixel takes too long to turn off, so you get a ghosting effect. You don't see this with CRTs. I noticed it with my DLP with my fast Tivo menus, and you might notice it on power points when people use those features that zoom the test in from the side of the screen. They have a quick turn on per pixel, but the turn off is like 3 times longer. I guess I haven't noticed things quick enough in normal programming where this will be a problem.
I used to work for a simulator company where I learned a lot about projectors and the smear/persistence was why we were trying to stick with CRTs even though all the big CRT players were moving on to make the new LCD/DLP projectors. We made the smear even worse by trying to have an image that we steered around a dome. So there was motion within an area of interest, and we moved that area of interest with the pilot's head. Looked awful with $100k JVC LCD projectors.