I am not aware of any single picture that shows both the circuit and physical location of components as you described. The example you posted pretty much applies to all cars. In the Mustang, the points marked "5V" and "24V" connect together then to the battery (+12V) through a fuse. Other than that, the only difference is the connections to the both ends of the horn switch are routed through the "clockspring" cable. Servicing the clockspring is an involved project, as it is mounted directly behind the steering wheel. Both the driver airbag and steering wheel must be removed to access it. I would want to be 100% sure the clockspring is bad before attempting this repair.
Check your owner's manual. On my '03, pushing the remote "lock" button with the dorrs already locked beeps the horn. If that function does not work, the problem may be elsewhere. Does your cruise control turn on and off, and actually control your speed? It shares "clockspring" wires with the horn circuit. If the cruise control works, the "clockspring" is not the cause of your horn problem. I think the fuse and relay are more likely to fail before the horn switch and "clockspring".