If there is a benefit in using blockchain to track pork chops, and if all the pork chop companies know and kinda-trust each other already, a private blockchain could keep the hackers out and implement various security schemes, and maybe even have a board that could publicly organize a rollback to undo a "DAO-hack". (As seen with Ethereum, such a "board" exists implicitly anyway even in a public blockchain system).
But do you enjoy reading something like this [1]? Can you analyze blockchain code like that? Ideally before you know that there's a bug?
It's on Ethereum to show how to make things secure. The general level of software buggyness is inacceptable if you say "code is law".
[1] http://hackingdistributed.com/2016/06/18/analysis-of-the-dao...
1- The main advantage over something like Paxos or Raft is simplicity. There are also serious disadvantages, and normally I would still suggest grabbing a library that does Paxos or Raft instead of something blockchain-based. Still, it's not "no advantage".
You're right, from a technology point of view. But for this system to run, you need to convince a lot of people, from different cultures/backgrounds, to use it.
Maybe talking about the safety of the bitcoin network instead of a mathematical proof makes that marketing challenge easier ?