It is understood that after an extensive investigation police did not believe Sanft intended to shoot or kill the child, which is why he was charged with manslaughter rather than murder.
However, a month after Amokoura's death, police laid additional charges of manslaughter and possession of cannabis for supply.
He was granted interim suppression when he first appeared in the Manukau District Court and the order was extended in the High Court at Auckland, meaning the names of Sanft, Amokoura and their relationship could not be published.
On Wednesday last week, Sanft's lawyer Sam Fernando applied to have that suppression order extended.
He told the court that if his client's name was published his family would face alienation and ridicule from their community and may be isolated from the marae they were connected to.
Fernando said Sanft "was not only a defendant".
"He is a victim as well," he said.
Fernando also said that if Amokoura and her father were named, the toddler's siblings may suffer at school.
Justice Graham Lang declined the application, saying there was no strong evidence that lifting suppression would affect Sanft's right to a fair trial or cause him, Daniels or their wider family any significant hardship.
"I just don't see how [Fernando's submissions] justify suppression," he said.
"The victim has to show hardship. I just don't see how that could happen."
The Herald has chosen not to name Amokoura's siblings to protect their privacy.
Justice Lang delayed the lifting of suppression for a week to allow Sanft and Daniels to tell "everyone that needs to know to be told".
"You have seven days to get things in order."
The order lapsed at 9.30am today.
The death of Amokoura Daniels-Sanft
Amokoura was born on February 15, 2014 and is one of four children.
Sanft and Daniels had been living at their Favona Rd home for about six months and were in the process of moving when their toddler was shot dead on June 2.