There's upset over a court ruling of a man who punched a pensioner at the Posie Parker protest last year.
The man was granted permanent name suppression and discharged without conviction.
Police say it's an offence to share a name that's suppressed and they have the ability to charge anyone for breaching a court order.
Free Speech Union CEO Jonathan Ayling says it would be a part of natural justice to name them publicly.
"And it's the right of the victim to be able to say- this is the individual who attacked me, the criminal justice failed in holding him to account. At least, she should be able to say- this is the individual who attacked me."
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