Final answer:
The advantage of the Kinyoun staining procedure over the Ziehl-Neelsen method is resistance to fading.
Step-by-step explanation:
The advantage of the Kinyoun staining procedure over the Ziehl-Neelsen method is resistance to fading. While both methods use a primary stain (carbolfuchsin) to color acid-fast cells, the Kinyoun method does not require heat during the staining process, resulting in a more durable stain that is less likely to fade over time. This is especially important in long-term preservation of stained slides for analysis and documentation.