Regarding the comparison to the SM64 CCC run, I would argue that, in Super Mario 64, while coins, caps, and cannons are helpful, they never seem absolutely necessary for game completion. It's sort of like a Sonic the Hedgehog run that never collects rings or powerups in that, while it is technically a challenge to avoid the rings and never take any damage, it's a lot less interesting to watch than a standard run.
By contrast, the sword in Zelda seems like an absolute necessity, and even though you can choose to avoid getting it, it is surprising to learn that it is possible to accomplish any meaningful progress in such a case, even given the benefit of tool assistance.
It'd be sort of like
a Brain Age math run that never writes any numerals in terms of surprise and entertainment value.
Now I haven't actually watched this movie yet, so this post is all theory at this point. But I personally find even the notion that the first 8 dungeons can be completed without a sword to be incredibly entertaining. Not so for the idea that a sonic or mario game can be completed without coins/rings or powerups.
Edit: Having now watched the run, I stand by my line of argumentation. Item use was really creative and unexpected.