I have a 1999 with 34,500 miles that I bought new. It has always used a quart of oil in about 2000 miles. I say 'about' because I check the oil every few hundred miles and top it off. I top it off because oil is a coolant and will lubricate, clean and cool best in the long run if the full 6.5 quarts are flowing. At least I feel better with a full crankcase. At the rate I add oil, it works out that if I did not top it off, it would be down about a quart in 2000 miles.
There are no visible leaks on the engine and no drops in the parking stall where it always sits. There is no blue smoke or other sign of burning oil.
I have talked to Chevrolet mechanics and been told that a quart in 2000 miles is "normal" usage. It blows by the rings or something else according to GM. But, according to GM, it is normal. I have learned on another forum that usage varies greatly. Some LS1's of our years use more oil and some use less.