I frequently use clipping path and text wrap and have noticed that when applying clipping path to photos containing white, the path cuts into the white area or pixels. This can create holes in bodies or cut off portions of limbs in the photo. How can I keep this from happening?
If you are using InDesign's built-in Detect Edges, you are not going to get the results you need.
Even with this fairly straightforward image, you can see (on the right) that it can only approximate. With softer images, like people, I image it would do even worse.
The only ways that you can get what you want is to create a tight clipping path with the pen tool in Photoshop, or use Photoshop transparency, and save as a PSD.
The image on the left uses a photoshop clipping path, the one on the right is using Detect Edges.