Open blacklist: is it possible?

This morning the customer came, he wants to make an open blacklist of defaulters, where he would publish open information such as: our company “horns and hooves” delivered 8 tons of horns and 12 hooves of conditioning on the basis of the contract (scan of the contract) to Bender, Bender specified horns and I got the hooves (scan of the invoice). however, we did not receive payment (here is a scan of our official claim from the last quarter, here is an act of reconciliation of settlements, here is a statement of claim).

What perspective does the project have from a legal point of view?

Born on the basis of this discussion and this post .