Cota95 spoke then recanted, “..”. When you install louder horns with stock wiring then again with an upgraded harness plus relay, and assess your results by standing within 6 feet of the bike and pressing the horn button the results may be misleading. Any good horn will blow your hair back and leave your ears ringing at close range. Ideally you would use a dB meter to measure effectiveness; it will even allow you to map the radiated pattern (if you can get it done before the police shut you down!).
It would be interesting to see what happens with back to back tests in the following scenario: Car and test bike(s) in an empty parking lot separated by 75’, first the bike 180° to the car, then 90°; with the car engine running. Can the driver detect a noticeable difference between the horns driven through the stock wiring vs. the horns fed directly from the battery through a relay? I’m guessing it would be hard to tell the difference with a higher frequency horn but would be noticeable with a lower frequency horn. Again, I’m guessing that it would be hard to tell the difference between a 3 amp vs. a 5 amp horn. With any horn over 5 amps I’m willing to bet the driver could tell the difference between stock and relay fed horns.
But, sound level is only one factor in the stock harness vs. relay decision.
What I present here is speculation based on background & experience, it needs empirical testing. I have a light meter that I’ve used to evaluate a variety of different headlights for effectiveness but no dB meter. Cota95 has a horn with stock wiring, anyone in the New England area have an upgraded harness/relay willing to play some afternoon?