Exactly. The value of Bitcoin comes from the fact that it's something scarce and un-counterfeit-able, just as money should be, while also being "de-centralised"

Exactly. The value of Bitcoin comes from the fact that it's something scarce and un-counterfeit-able, just as money should be, while also being "de-centralised" and not tied to a government or corporation. The Proof of Work (the match burning) is just the means behind how that's achieved. It is absolutely not how Bitcoin derives its value; that's actually something we'd prefer it didn't need to do, but unfortunately it has to.