well, for my money, the horn relay is redundant, just adds more connections that could corrode or loosen and give you fits trying to track it down - also leaves your fuse panel always hot, so anything you do there [even change a fuse] you have to disconnect the battery first, I'd power the fuse panel via the ignition switch .... and yes, both wires from the DA plug to the battery connection is a drain, one of them [yellow if you have red and yellow] must be switched by the ignition [or another toggle

] or go to the coil+ to get powered only when the ignition is on - but that alternator would appear to be internally regulated, why would you add an external regulator?
Bill