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Could be that wire was added by a previous owner. Maybe the wire from the soldered splice to the junction block needed to be replaced or he/she added it to run an accessory? Where ever it ends up going you should have circuit protection in the form of a fusible link or a breaker just in case. The wire on the left screw in the photo should be the one from the soldered splice. The soldered splice has a wire from the alternator, to the 3 terminal of the voltage regulator, to the horn relay, and to the battery via the junction block on the rad support and the fusable link. The wire off the right screw goes to the firewall bulkhead connector and powers up the rest of the car. Depending on the year of your car. That should be true for all but ?