The first link goes to GM p# 20913877 which has the description:
Yukon XL, Suburban. All models. Silverado, sierra. 4.3L, 1999-04, with ac. , without electric cooling fan. 4.8, 5.3, 6.0 & 6.2L, 3/4 & 1 ton. 5.3, 6.0L 2002-04, 8.1L, 5.3, 6.0L. 5.3 & 6.0L, with ac, with towing package. 2000-04, with ac, without towing package. 5.3 & 6.0L, with ac, without towing package. 4.8, 5.3 & 6.0L, 4.8l & 5.3l 1999-04, 6.0L, with ac.
So the first one is what you want.
Shin Gekiretsu Shin'ou'hou
01 Toyota Tundra 2WD V8 4.7L - 167k mi
02 Chevy Silverado C1500 V8 5.3L 150k mi