Deb, I've heard that term a lot, but I've never been 100% sure what "the square" actually is. I know my kids are taught creative thinking and/or linear thinking at school. They're trained to think about thinking, so they have strategies to approach problems (ie De bono's six hats), instead of using the usual models. But I think what you're talking about is intuitive leaps. As far as I know some writers do have that - the ability to solve their character's problems by leaping past logic to somehow 'see' what happens. Or, their characters solve the problem for them which is kinda the same thing.
But when you say you 'live' outside the square, I'm not sure what you mean. (Unless you're like my sister who was a hippy in the Daintree Rainforest for a couple of years

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