There's nothing wrong with your snap release, if that's the way you want to shoot. Some really good shooters snap shoot, like Ron LeClair, Terry Green, and Howard Hill. The problem with snap shooting is that it can develop into target panic, where you don't quite make it to full draw one time, and then it becomes a habit, and then you can't make yourself come to full draw at all. As long as that doesn't happen to you, it should be fine.
It looks from the new video that you're not so much dropping your bow arm as the bow is recoiling downward, because after the initial recoil, you're holding it in the position it ends up. Ideally, it wouldn't recoil downward like that, but the solution is not to try and hold it up. The solution is to find out what's making it recoil downward.
It could be that you need a stronger bow arm side, which you could get by moving your shoulders into better alignment. In other words, start out with your shoulders pointing at the target, and if they open up during your draw, rotate them back into alignment. Someone can check you on this by holding an arrow on your shoulder blades when you are at full draw, and see where the arrow is pointing (should be at the target). The arrow should touch each of your shoulder blades. If your back is rounded, so the arrow has to rock back and forth to touch each shoulder blade, then that means that you're not getting enough of your back into the shot. You look strong enough to hold the bow weight with your arms, but you'll shoot better if you transfer the weight to your back.
Or, as someone mentioned, you may be a little out of balance when you shoot. Keep an equal amount of weight on each foot, a little front weighted on your toes (maybe 60/40). Don't drop your bow arm to make a downhill shot. For slight downhill shots, just shift your weight to your downhill foot slightly. For more extreme downhill shots, flex your hips sideways so that your trunk is inclined forward and your weight is still balanced between your feet. Get used to the feeling of drawing the bow on a level surface so that the arrow is parallel to the floor, as if you were going to shoot something that was as high as your shoulders. That's the kind of alignment between your shoulders and your bow that you want to maintain for shots of any angle, up or down.