I suppose an easier way to rephrase this criticism is that blockchain is usually seen as the solution to the 'trust problem' (handwaving what specifically isn't trusted, or why, or why you can't find a third party to trust).

In this case, the issue with (to the best of my knowledge) supply chain is that the wrong product is delivered, a substitute product is delivered or a product is not delivered. Broadly, that the customer doesn't trust the supplier. How does a blockchain solve this problem? If you can't trust your supplier to deliver the right product, or to pick trusted suppliers, how can you trust them to enter the correct data into a distributed ledger? Any ledger? Data entered into the blockchain can just as easily be falsified or wrong. It just can't be changed. Why can't this data just be stored in a database? What value does a blockchain provide here?

The blockchain doesn't solve a problem in this case, unless I'm missing something. It's just a database but harder.

And eg. some financial companies already have obligations to store data for X time periods and back it up to tape off-site. That regulation already stops you from just deleting/modifying your records, as far as I can see a blockchain doesn't provide any advantage over mandatory offsite backups.