Synapse - I love your description!
for me iNtuition is about being open to possibilities, making connections (mostly based on past observation and/or experience where senses have salted the info away for later retrieval) that others seem unable to see, and seeing/predicting possible action and consequence like a 4 dimensional map in my head instead of a linear process. This (for me at least as an NT) is then ameliorated by the Thinking which acts like a defacto Sensing to check my rationale and seek other supporting evidence. If that makes sense???