In a world where healing is largely done through magic, vivisection would be more the purview of Necromancers and others who need a more intimate understanding of how all the parts fit together. With the Light, you don't need to know what's broken, really, just have faith that it will be healed.

The purpose of vivisection (or, as it is referred to in Universities, the cadaver lab) is to understand exactly how everything fits together so it can be manually fixed, through surgery, therapy, and the like. The understanding of anatomy is primarily due to the direct nature of our form of healing. But there's no reason to believe that a faith-based healer of any kind needs to know the exact name of a muscle, or what two (or more) bones it connects, to entreat the Light for the power to heal it. But when reconstructing a body from parts via stitching, a deeper knowledge of both anatomy and butchery would be needed, to properly pull apart and put together the appropriate joints and muscles.

Now, any skinner who has cooking could easily describe the skinning as the first step in slowly preparing an animal to be cooked, potentially through sectioning.