That's something I'm holding off until getting to the Eastern Romans (just the Rhomaioi, basically). To be honest, I don't know if making the Visigoth (and other Mediterranean Germans like the Vandals) attires more Germanic or more Roman.
But yeah, the furs should be confined to the Continental Germans like the Thiudiscas.
Not all, but the most heavy ones (and the woman fur veils) should.