I'm guessing you were more focused on taking photos than really out there to compare cameras? Because if your aim was more comparing cameras, then this was not a very good effort.
A number of things I saw from the video:
1) What's with the blair witch project shooting style of swinging back and forth for the video? Sort of pointless, but that's just my opinion.
2) Model 1 you showed using one camera (I believe the Canon), but then when you switched to Nikon, you had her change clothing. There didn't appear to be an earnest effort to compare and limit your variables.
3) What lenses were used for both systems? I know lenses make a difference in initial contrast/saturation. My 50 1.0 vs. 1.2 shows clear difference in this even under exact settings.
4) Distance between model and strobe seemed inconsistent and fluid.
Again, if this was mostly a Behind-the Scene video, you succeeded. As a comparison, this was nowhere near the mark.
Just my worthless $0.02 of constructive criticism. Better title would have been "Behind the Scenes w/ 5D3 and D810".