Very nice work.

I can't offer any insight, other than "that's impossible". :)

I don't know too much about mesh representations, but as far as I know, the UV coordinate initial projection is not something that ends up in the object. That's just an initial set of values to choose. It begs the question: Suppose I were to start with a flat projection, and then using my UV editing tools, I hand-move every vertex to the position that WOULD have been assigned by one of the other 'bad" projections. Would it now be bad or good? We'll never know, because nobody could ever move them with that kind of precision by hand, I suppose.

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Renderosity forum reply notifications are wonky. If I read a follow-up in a thread, but I don't myself reply, then notifications no longer happen AT ALL on that thread. So if I seem to be ignoring a question, that's why. (Updated September 23, 2019)