Hmm, I notice that .... just as I'd mused ... you pulled out the detector to pinpoint it. Yet, just as I described of the proponents, they will STILL say that it's the LRL that "led" them there. So in their (your) mind, the LRL worked. Mind you, a lot of us have pulled out detectors by trees, and found coins JUST LIKE IN YOUR STORY, yet without an LRL that "led us there" in the first place. So ... perhaps a walker half by a tree is not an earthshaking impossibility?
Here's my explanation: It's selective memory. Because let's say for instance that you'd found nothing there. So ... you'd have continued trying elsewhere, (perhaps following elsewhere that it pointed, trying those areas too). But in the meantime, you'd have subconsciously selectively forgotten that you just got zero (0) where it *first* pointed to. Selective memory, for example, is what makes us think our dreams come true. You know, like you wake up in the morning to your the song you were JUST dreaming about, that is now on your clock radio alarm. So you think "I must be psychic!" (or you're dreaming of a certain friend, and ..... right then his phone call wakes you from your dream, etc...). But what's REALLY happening, is selective memory. We all dream hundreds of dreams per night, right? But we forget them all within 30 seconds of waking up. HOWEVER, when one coincidentally comes true, only THEN do we remember our premonitions, and say to ourselves "I KNEW IT" (while forgetting all the other premonitions that never came true or happened).
Same for your coat-hanger half story. Like if you did it 100 more times, and found nothing, yet the one story about the half would be the one foremost on your mind (understandibly so).