The Red and Red/White wires are power wires feeding to the fuse box and headlights. They are not fused. The Purple wire attached to it is thus also unfused and is a fire hazard. If nothing else there should be a fuse holder installed immediately after the wire leaves the larger wire.
[This message has been edited by phonedawgz (edited 08-26-2014).]
The red/white wire feeds power to the headlight circuit and IS protected by fusible link B at the battery junction terminal. The fusible link will not protect the small purple wire in the event of a short in that wire, it should be protected with a small (5-10A) fuse, depending on what it is feeding and the actual gage of the wire.