That is true. However, at some point you are trying to fit too much into a single image or chart. I think what you're describing here could work if you keep it focused on a smaller range of ideas, rather than this many. It would also allow people to think individually about each claim, which larger sets don't really do.

I think your proposed chart would work best as an introduction or header to a more in depth analysis. Show the shape of the arguments and faults, then discuss each one thoroughly beneath the image.