"it’s the current that kills you" isn't the relevant point. The point is that the current through your body that kills you (specifically, the current through yo

"it’s the current that kills you" isn't the relevant point. The point is that the current through your body that kills you (specifically, the current through your heart, not merely through your fingertipes). Touching a high-current wire doesn't send high current through your body (same as high-voltage across your body) unless there is a circuit (as you correctly wrote).