I think "more squatty" when describing a hinge for a heavy snatch is a way to describe 1) slightly more knee bend than one might have for a moderate weight swing or snatch, which brings the hips lower and also brings the knees more forward over the toes, and 2) a more deliberate loading of the bottom position, which is 2 things, 2a) the weight goes down more than back (7:00 or 7:30, as opposed to 8:00 or 8:30 in Senior SFG Woo-chae Yoon's "
SFG clock"), and 2b) there is a tiny bit more time spent in the bottom position.
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Not saying mine is right, but putting myself up as an example for discussion... Left/first is a heavy swing hinge, right/second is a heavy snatch hinge. Both are hinges -- but the snatch is deeper knee bend, a.k.a "more squatty." (It's not a great example of 2a above, but some of the examples in the first post are).
What you can't see in the photos, but you can definitely see in the videos in the first post in this thread, is a few extra microseconds in that bottom position. This is the 2b that I mentioned above. "Coiling the spring" as
@Al Ciampa says. Really using that rebound, elastic recoil of the tissues, stretch reflex... ? Some of these terms are right and others probably are not... Perhaps someone with a better grasp on the terminology can help here. In any case, it seems to be crucial in the heavy kettlebell snatch. (IMO it can also be used to great effect in a heavy swing, but does not seem to be quite as essential... perhaps just shifts the emphasis slightly in the swing.)
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Also interesting is that I'm slightly more bent over in the torso in the snatch hinge. Perhaps the overall effect is that the whole body folds up more and then has more vertical force production available to get the snatch to overhead.
(Also, a disclaimer: There could always be other confounders as well... The swing photo is from Dec 2015 when I had been doing almost all kettlebell training for strength, and the snatch photo is April 2019 when I was a lot stronger overall, and had been doing barbell strength training for 2 years prior.)