Yes, i agree with that.
But in Unity i've imported sucessfull a static model (space ship) with texture from Blender by exporting in FBX.
But i've seen strange things on an animated character.

I think you must play with Fbx format and try settings,and do lot of trys, but once you succesfully export, that's done.
.X models can do the work , and some guys for example import into Unwrap 3D , and export from that tool.