I don't believe in the "supernatural" beyond the general conviction that our current scientific theories couldn't possibly be flawless or comprehensive, but I do believe that once natural phenomena—especially those involving mental, emotional, and social dynamics—get sufficiently complex it can be useful to describe or understand them using magical or supernatural terminology. To some extent this is specifically because it highlights the way our understanding of our feelings and relations to other people isn't scientific, but rather based on an intuitive sense of the broad strokes through which some inarticulably vast set of processes acts.
To use a silly example, if I say I can "read my wife's mind", obviously what's actually going on isn't some kind of literal telepathic link between us, it's a combination of deep familiarity and subconscious attunement to subtle audio-visual cues1. But rather than obscuring that, the use of supernatural phrasing clarifies that the mechanism is neither fully understood nor important, and that the high-level patterns are still worth describing without that.
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I'm intentionally echoing here Asimov's construction of "telepathy" as this sort of technique taken to the Nth degree.