When I first ran across it, the absence of fundamental understanding of what they were literally doing when things "worked," it struck me as odd, too. For some reason (this is my perception of what I've personally experienced), in (some, most?) traditional aikido schools the breaking of balance, posture, structure whatever you want to call it is performed, but not discussed. I visited a dojo about 20 miles away once and while there watching, I never once heard anyone say anything about kuzushi, posture/structure changing, moving the person to hwere they didn't want to go, nothing.
I grant you, the upper rank couple of guys were "doing" it, and their stuff seemed OK, but the students were trying to mimic and not understanding what they were seeing. I asked the jr. instructor who was sitting and talking with me how long the guys out teaching had been in aikido, and he told me 12 and 15 years respectively. Then, a big fall off to the student base, as the next ... eldest student had been there about 6 years. The guy next to me had been there about 8. I sat and watched and discussed the entire class with him, getting more and more technical. He finally asked me who I was, so I told him. Nice guy. He smiled, "Oh, you're that guy. We've heard about you." Which, I didn't know how to take, but it did sort of let him to know the next question.... "Well, how long have you..." etc. etc.
You can walk over and pick someone up, and drop them. If you have the strength to do so, you can tilt them so that they won't land on their feet when you drop them, and I suppose that, technically, that is a throw. Trying to do that to someone who is not interested in complying with the effort is the trick. Unless I'm able to get kuzushi, in one of its myriad forms, I won't be able to throw them. That simple. In what I teach, right after "Get your hands up and get out of the way," it's the next talked about thing.