The announcement teamed with the experts' international locations and technology difficulties meant the process was delayed last night, said think-tank spokesman Dr Neville Robertson, senior lecturer in psychology at the University of Waikato.
He said only a few members had lodged their decisions, and he did not expect the full picture to emerge until later today.
"You're talking about a group of 38 people spread around the world who have busy lives and some of them will have responded, some of them might take longer," he said.
Of those he had seen, "a couple of people seemed to have suggested they would be staying in".
Members had been in communication throughout the weekend, but technology difficulties meant some - including Dr Robertson - were unable to read all the documents.
Discussions about the review and information handling were likely to have an impact, he said.
"I imagine they would be influencing people's decisions."
The inquiry was set up with high hopes it could tackle family violence in a way no government-funded inquiry could because of its complete independence from the state.
Its sole private backer, Sir Owen Glenn, put up the money as part of an $80 million pledge "to raise attention to New Zealand's family violence and child abuse statistics and his commitment to reverse them".
The expert think-tank was to hear evidence from survivors of family violence, frontline workers and professionals, backed by a think-tank of local and international experts.
On May 9, Ms Herbert and Ms Trask gave Sir Owen four weeks' notice of resignation. They expected this to lead to a negotiation that might have dealt with their concerns.
Instead Mr Wilson, a former Supreme Court judge, was appointed to chair a new governance board and Kirsten Rei appointed the new chief executive.
The new corporate structure upset the experts as it undermined the notion of a "people's inquiry".