Jedi is correct. LCD and DLP are not in any way at risk of traditional "burn-in". I have no idea what Der Alta is seeing that has made him think that the vertical aspect ratio bars are burnt in, but it is impossible to burn-in LCD, DLP, and LCoS displays.
Burn-in is a permenant artifact directly involving the phosphors of a display. Because only CRTs and Plasmas use phosphors, only they are susceptable to traditional burn-in.
LCD panels can be damaged from excessive heat, either from poorly designed light engines, or from clogged air filters. LCD panels that are subjected to above normal operating heat levels may cause blotching artifacts that show up on the screen as permanent light blotches of specific colors. These colors will depend on which or how many of the three LCD panels are affected. There is no fix for this, other than to replace the damaged panels... which is still much cheaper than trying to replace the tubes of a CRT with burn-in!
(and in the case of plasmas with burn-in, the only cost effective fix is to replace the entire display.)
The guns that project the image will wear out with any use.
I think he said he has an LCD TV, and only CRT's have "guns".
In a nut shell, as Jedi said, playing games from a PS2 on an LCD isn't going to cause any more wear and tear on the display than any other video device or watching TV.
Maybe your father just doesn't want you to log many hours on the TV, thus forcing him to buy a new lamp sooner rather than later. If that is the case, my recomendation is to find out how much a replacemtn lamp costs, devide it by the number of hours the lamp is rated for that display. In most cases, the cost per hour will be around 10 cents. If he is still bothered by it, offer to drop in a few dimes into a collection jar every time you play games on the TV.
