Without snow tires the LS is a dog in the snow. Its terrible. RWD, lots of power, overzealous Traction and skid systems makes for a hair raising ride. My dad just got an 04 and the 04 comes with 17 inch wheels, he says its even worse in the snow than his 98 was. My ES on the other hand (FWD) is great in the snow, all the things the LS isn't, stable, confidence inspiring. In fact it was one aspect that weighed on my decision about new ES vs 00 LS, I can't afford a second AWD car just for the snow like my ol man can LOL. They just bought a new Infiniti FX for snow duty.
If you live where it snows DEFINATELY invest in a winter beater or snow tires, and switch the trac/VSC off, use the snow mode. Sandbags help, always keep the gas tank full.