It is my understanding that the neutrik connection works with most amplifiers and because the output signal matches exactly with the amplifier, not the preamplifier output signal, a more exact output match is created. What I have found, I think you did as well, is that the output signal is stronger when taken directly from the preamplifier so you require less volume to get more bass output. Over time, however, it has been my experience that when properly mated to the amplifier via the neutrik connector the bass response is more realistic and creates the illusion that there is no subwoofer at all because of the better integration. Long term the REL subwoofers with the neutrik connection in my systems, I am a subwoofer addict and have had many different brands/connections in various systems, have been the best subwoofer integration experiences.
Not sure why the neutrik connection does not work with differential balanced amplifiers. I beleive that it has to do with negative feedback and that differential balanced amplifiers either do not offer it or offer too much. Someone technical would be able to offer a better explanation. Either way in one of my systems when using a neutrik connector the Storm III, great subwoofer, would emit a loud pop that would scare the hell out of me. I cannot remember which amp it was, but I was advised by someone at that time to use the preamp output connection.
Not sure why the neutrik connection does not work with differential balanced amplifiers. I beleive that it has to do with negative feedback and that differential balanced amplifiers either do not offer it or offer too much. Someone technical would be able to offer a better explanation. Either way in one of my systems when using a neutrik connector the Storm III, great subwoofer, would emit a loud pop that would scare the hell out of me. I cannot remember which amp it was, but I was advised by someone at that time to use the preamp output connection.