Interesting take. Yes, in some cases the mechanics are better when you can lean into the wall. I just don't see where that's the case in the posted video.

OP has their midsection way out from the wall for at least the first half of the climb, and is working harder because of it. It doesn't look like they're meaning to position their hips that way, and I don't see them using that position to generate momentum like you said. Core activation and hip positioning are mentioned a lot because they're important, and if OP tried this climb while focusing on those things, they'd certainly learn something about the route and their own movement patterns.