SH games flip 3d model's coordinates. Supposing that your model looks okay in Wings, you need to mirror it on the x axis before exporting/importing it, for it to look okay in game too.
Seeing that your model is already mirrored (that's no surprise, since the model is coming from SH5!), no flipping is required. The model will look as supposed once imported in SHIII
As you have already noted "Reverse face winding" actually inverts face mormals i.e. it turns models inside out, and it doesnt apply to situations where coordinate flipping is required
