Step 1: The traditional laboratory diagnosis of Whipple's disease is based on light microscopy showing diastase-resistant, periodic acid-Schiff (PAS)-positive granules within macrophages in the affected tissue, so option 1 is correct.
Step 2: These PAS-positive macrophages contain the causative organism Tropheryma whipplei.
Step 3: A similar PAS-positive picture can be mimicked by Mycobacterium avium infection in AIDS, but the distinction is made by acid-fast staining, which is positive for M. avium and negative for Whipple's disease. Thus the classic, defining association is Whipple's disease.
Step 4: Crohn's disease does not show this PAS-positive macrophage pattern, so option 2 is wrong, and option 4 is excluded because Whipple's disease is the correct match.