Earlier quoted context omitted.
This isn't the best analogy since PoW was declared beforehand that more work = more trust. In the manufacturing example though, there are many examples of collectables that trade at a huge premium due to a very subtle manufacturing defect.
> more work = more trust This is not true. The trust you are talking about is the "solidity" of the blockchain, i.e., it's immutability feature, what (supposedly) makes it a trustable source. But it is not PoW that makes the blockchain immutable. A lot of people are saying that, but they're wrong, I'm sorry. What actually makes the blockchain immutable is that it is distributed and that it cannot be done to rewrite i…
You are incorrect. The proof of work mechanism is central to ensuring the immutability of the blockchain.
As a concrete example, suppose there are N blocks in the blockchain, and I want to change a transaction in the (N - 2) block. Obviously, this will change the hash of the (N - 1) and N-th blocks, so the decentralized network will not accept this arbitrary change.
However, if I can produce four PoWs corresponding to the new (N - 2), (N - 1), N, and (N + 1)th blocks, then I can convince the network to accept. Of course, I have to produce these four PoWs before the honest users on the network mine the next block at index (N + 1). This is extremely difficult by design. In theory, you would need the majority of the network’s computing power to carry out this attack.
In other words, the security level of the proof of work is directly related to the difficulty in modifying the blockchain.