No the registered keeper is legally required to either name, provide a list of possible candidates or take responsibility, hence my earlier comment about Plod then looking at charging someone with a taking offence as, if you are denying responsiblity and can not name an authorised driver for the time of the action then it is taken as a given that the vehicle was there without consent and the driver if identified has commited a crime. Also it does mean that you cannnot be clamped on privately owned land= extortion, but the police and local authority still have the right to do so.
So Consumer Advice - Scotland are wrong then?
Parking on private land is not a police matter. It comes under civil law. It's a contract between you and the landowner - you read the sign and decide if you accept the terms and conditions of the contract. If not drive away. If you don't see the sign, or the wording is incorrect then there's no contract.
Council Parking in England and Wales was decriminalised many years ago. The police don't get involved in parking tickets. Not sure about Scotland.