Earlier quoted context omitted.
I think what @decentralised is arguing isn't that PoW is wasteful, but that there are certain by-design inefficiencies that outsiders consider a waste from an economics standpoint. (A high economic cost to perform PoW) Certainly you could argue that this economic cost is necessary and therefor not wasteful. Indeed I agree that it is central to the idea.
direct quote from him: "There are plenty of consensus protocols that don't waste energy" i'm not entirely sure what do you consider inefficiencies in PoW, it is by design supposed to convert energy into a proof that similar amount of energy was spent producing the proof. the only inefficiency involved is how far we are from Landauer limit. ultimately i don't think it matters which specific hashing algo is used - ther…
The product of PoW's work is largely wasted since all hashes produced for a given block height, other than the next valid blockhash, have no value and are discarded with the winning miner being paid the full block reward for its work. This means that not only are the hashes useless but they are also expensive to create and return 100% of the reward to the winning block producer at the cost of all other block producers. Bitcoin’s hashrate is what I refer to as an “economic firewall” in that it becomes increasingly more expensive to acquire the hardware needed to control a significant portion of the network's hashrate (eg: 51% attack), or even mine a single block, the more interest there is in the block reward tokens. Having said that, there is no causality relationship between the cost of producing blocks with PoW and the token’s price which is set in open markets were no single Exchange or a “bitcoin ceo" is a counter-party.
In other words, PoW keeps a blockchain safe because it’s wasteful and expensive. Only someone who can afford to run a mining rig would join and its costs are not covered unless their blocks are added to the canonical chain.
If the consensus protocol performed useful work, the incentive to "mine" on this chain would not only the block reward but also include ulterior motives so attackers could try to produce invalid blocks and their effort would still be justified by the value of the work done.
Hope this helps. Find me on telegram if you want to keep this discussion up, I'm always happy to discuss cryptoeconomics.