Isn't the energy cost of this violence the real point though? Proof of work cost is analogous to the police violence/detection/bill security costs you mention,

Isn't the energy cost of this violence the real point though? Proof of work cost is analogous to the police violence/detection/bill security costs you mention, so that is what we should be comparing. The cost of land ownership, security and electricity is included in the cost of POW, so including it is counting double. You could argue the police help secure the miners from physical theft, but they also help prevent physical theft from fiat banks, so shouldn't that be equal if not in favour of bitcoin?