Hey!
I'm really glad that I not only watched your video, but that I watched it until the end! I, too, have a pair of K371s from Amazon. I have been using them, for the past few days, and since I first got them, I thought something was going wrong with my hearing, or that I, somehow, was missing something that all the positive reviewers were hearing. I actually went and googled "K371 out of phase" because that's the closest way that I can describe what's going on. It sounds as if the bass frequencies are out of phase, and that entire portions of the mid-bass frequencies are missing. And I have tons of experience with all different kinds of headphones and IEMs. There is also something wonky going on with the seal on the pads, and I, too, get a crinkly sound from the drivers, that sounds like bad driver flex (I've had that in a few sets of sealed IEMs, and VERY badly in my Audeze Sine closed-back on-ears). But my main issue is the odd, scooped, out-of-phase sensation, that makes these headphones difficult to listen to. Once again, I own, and/or have experience, with well over 100 different pairs of headphones/IEMs, of all price levels - AND I'm a professional recording/mixing/mastering engineer.
I'm sorry to hear you've also had issues, but glad to have seen your post, as I now know I'm not the odd person out.
-TKB