Yes, that definitely would be the case.
Those who advocate for the U.K. model certainly point to that, saying that the voluntary aspect of it really puts the onus on companies. If companies are good corporate citizens and there certainly is a strong incentive for them to do so, then they will be reporting and they will be investigating.
As I said, it still is early days for the U.K. legislation to see how effective it has been. But when you list the pros and cons of the various models, I would certainly say that the aspect of public shaming, or naming and shaming, is a strong incentive under the U.K. model and could have a very positive benefit.