I have a couple of comments about the shoring.
1. In the construction worker's video, it shows a shore post that is buckled and tight to the composite deck. Typically, you would expect that the shore post would have a distribution beam that would provide support to all of the low ribs of the deck, and not just a single point. Now, I guess this could be re-shoring, and a post is located directly above, but that does not make sense from a construction sequencing. Since this is composite deck, there is no need to strip forms. It would make no sense to remove the beams, from a labor perspective.
2. I worked as a laborer for a GC while in college. While we did not do anything of this scale, we did do a few suspended slabs with shored construction. Once the concrete had cured, and it was time to removed the forming and shoring, we would do it in a very methodical method. We would lower the shoring by turning the screw jack 1/4 turn at a time on all of the shore posts, so that we would let the permanent structure pick up the load slowly and more uniformly. This also would prevent accidental stress reversals and large point loads. In watching the video and reading the interpretations, it appears (one cannot be sure) that the method was to remove posts completely. If this is the case, you could get all sorts of bizarre stresses, especially in a structure that appears to be as flexible as this one.
I still have numerous questions and concerns on the structural design, but shoring design and installation needs to be examined closely as well. One would think, that on a project of this scale, shoring design submittals would have been submitted to for review by the SEOR. This would be especially important if the design was to utilize shored composite construction.