His lawyer, Mike Antunovic, argued that if the teenager's photo was published in the media, it would result in severe hardship.
"It could stop him going to work which is the only relief he has from a 24 hour curfew," he said.
Robinson works in his family's drycleaning business and is in constant contact with members of the public.
Mr Antunovic said if his photo was published customers might recognise him, which could force him to stop coming to work.
"There's no need for the public to see a photo in the paper."
He said if Robinson was recognised by members of the public as one of the people accused of killing Mr Cottrell, he might be too scared to go anywhere.
But Justice Miller said because Robinson's name had been published there was no point in continuing with a ban on his image being published.
He reserved his decision on a number of arguments over witness evidence that would be allowed during the trial, which is due to begin in December.
- APNZ