If you removed the passive crossover from your JBL 4367’s and connected your amps directly to the compression drivers, I can assure you hiss would be audible to some degree
Nope. You are describing the scenario of what a normal system with an acceptable noise already present in the chain, but not when you are using absolute silent components. Lookup the AHB2 review from stereophile, the amp not only can adjust the sensitivity (9.8V RMS/22dBu, 4V RMS/14.2dBu, 2V RMS/8.2dBu), it has such a low distortion number, akin to the testing equipment that bench test the amp itself. If your upstream is absolutely silent, if theres noise/distortion in your horn, it's something else. Uber horn lovers pay big bucks for expensive tube amps, not just for it's tone/sound, more often it's for the silent. And they do directly connect to the compression driver with active setup.