Ilya, I watched your video a few times... I am not convinced you have a problem. Puckology is generally considered to be only slightly more useful than reading tea leaves. The assumption that because a section of your spent puck is drier than the other portions of the puck assumes that, therefore, it was never exposed to water and extracted, seems rather shaky to me. However, your shot video does show a poor side seal and also an extraction that begins radially and comes in. To me, that hint's that the center of your puck probably is denser than the outer edges, and is tending to extract less. This will get you a mix of over- and under-extraction in your cup, and may lead to an edgy cup. Center channeling and radial channeling can be tough to identify, because it's hidden for all but the beginning of the pour, but I think the beginning provides some hints.
I've had issues like that before, and a couple of things have worked nicely. First, rather than rotating your basket as you dose, try moving it in a circle--i.e., no rotation, dose once into the north side, then northwest, then west, southwest, etc. That's what I'd do if I didn't want to WDT. Since you do, it's kind of a moot point, and I'd suggest that you may be using the needle to push the coffee more to the center than the edges--This seems particularly likely since you don't use a funnel and you'd probably be less likely to properly push the coffee to the edges without it, since you'd likely knock a lot more over the edge. If you're going to WDT, which really ought to be an unnecessary step for your grinder, I'd try stirring such that you push more coffee out to the edges and leave more of a dimple in the center, and see if that helps.
The other thing to try is
nutating. Either way, from where I'm sitting, that's the only real flaw that I am seeing. It may or may not be related to the flaky pucks with dry centers, but I'd be looking to fix that if I were seeing what I do and my shots sucked. Other than that, I'd be trying with a well-known espresso blend that I knew was in its prime, not Ethiopian SOs, and definitely not home-roast.