Well, the difference I suppose is that I don't think "connection" is at all a mystical concept. It is a function of proper body structure, movement and mechanics. Nothing complicated, confusing, or even remotely magical. Shrug.
Sure it's mystical. You know what you mean by connection, but surely you don't believe that everyone shares your understanding of it. Do you really feel that someone with no prior experience, walking into the dojo, has your understanding of the word "connection" to mean "a function of proper body structure, movement and mechanics"? To that person, simply talking about "connection" without explaining what you mean by that term (using the words of a common language together with demonstration and practice), is absolutely mystical.