TL
Thanks for the lengthy tome! It was interesting, but I think that a cube is not memorable enough to be a symbol and that the implicit hierarchy in a cube is not a good match for us. Also, there are no 6's in the figure and if anything, tomoe could be interpreted as a Christian symbol, so I think that is not a problem. It's use across many different cultures, from Tibet to America, seems to be a case FOR using tomoe rather than against it

I think the main reason why people didn't like tomoe is not because of the symbol itself, but rather for design reasons. There is no reason that tomoe or any other spatial primitive cannot work if done right.