Hello everyone !
As you can see on the screenshot they both (skeletal and static meshes) have the same material applied.
On the Static one the shader is looking good, but on the skeletal one the shader is doing something strange with the rim light The rim light is on the shader and you can see it working properly with the static mesh.
I have no idea why it look like that. I have other static/skeletal mesh that looks fine with no issue. But when I take this one on any map, even on the viewer, their is a big issue with the rim light looking like if she is coming from the front and not from the back.
Thank you a lot for your time ! And if you have any other information I would love to know !
Have a nice day all !