We might be talking past each other. Call Haifa a parable, if you will. I understand why you find fault with the study, but I invoked it to call out (quoting myself) that a fine can also give permission for unwanted behavior. That point adds to yours and doesn't contradict it.

The reason I said anything in the first place is that I object to automatically administered punishment. Either separately can be OK. Automatically administered? No problem, that's called a tax (including use taxes like tolls). Punishment? Then we'd better have due process, and yeah, it's going to be expensive and labor-intensive to administer, but that's critical in a free country. That's why I called out the "is better than" quote. I think it's strictly worse.