After granting all four accused interim name suppression, Justice Moore remanded the men in custody until a trial date of May 24 next year.
If New Zealand remains at alert level 4 or level 3 by June, an administrative hearing that month will also be held via AVL and telephone, Justice Moore said.
Lee was behind bars at the time of his death for an attack on his partner, which occurred as he held her captive at a Rotorua house for several hours.
Corrections chief custodial officer Neil Beales has previously said the alleged attack on Lee at the prison took place in a yard.
"The alleged assault occurred in the unit's yard," he said. "Staff responded to stop the assault and provide medical assistance to the victim."