The bar should absolutely make contact with the bar but I don't see it necessary to "bang" the bar. I'm not knocking Jon North's technique or how he teaches it but there are ways to Snatch a lot of weight without taking the pain. The emphasis should be put on leg and hip extension together rather than hips forward into the bar. That is elevating the bar rather than pushing the bar out away from your body.
In your videos, the bar is too far out away from you body when you go to extend. And since you're extension is pushing your hips forward, the contact is extremely excessive and putting too much horizontal force against the bar which is causing it to swing out away from you.
Greg wrote a great article
on the specifics of how the bar should contact the body in the extension. The bar should be as close to the thighs as possible on the way up (1st Pull) without dragging on the thighs so that, on the extension, the contact is just as effective without that intense pain.
The things I would focus on is keeping the bar closer on the 1st Pull and think about driving upward with the legs rather than relying only on banging the bar with your hips.
-Halting Snatch DL
-Block Snatch Pull (focus on pushing the bar into your hips and driving upward with the legs to initiate the extension)