They cost the same?! What the fudge, that's a scam. Better wait some more and see the prices drop, it is unrealistic to be at the same price.
And yes, in my opinion, the 2060 Super is the one to go, but wait for a price drop.
EDIT: As an explanaition - As seen in the video, the 2070 does not produce a huge amount of performance when compared to the 2060S, it's not that much more that will justify you spending the money on it. The 2060S is usually 100$ less than the 2070 and it is like 3-8 FPS less than the 2070. I suppose the price is just a strategy where they'll advertise it as HUGE DISCOUNT and put the right price tag on it. Personally, I'd wait for that "HUGE DISCOUNT" first.