A Protestant clergymen last night (Tuesday) refused to say wether he would resign from the loyalist commission if the UDA refused to disclose the whereabouts of Alan McCullough.
As well as clergymen the commission is made up of political representatives and members of the UDA, UVF and Red Hand Commando.
Ulster Unionist councillor Chris McGimpsey said yesterday that there were "elements" on the commission who knew about Mr McCullough's disappearance and has called for clergy sitting on it to quit.
"The UDA should release Alan if he is still alive. If he is dead they should inform the family where his body is located," he said.
"If the UDA does not do this, I would respectfully request that those Christian ministers who are members of the Loyalist Commission should withdraw from that body in protest."
Last night, however, commission chairman the Rev Mervyn Gibson said: "We will cross that bridge when we come to it. We haven't crossed it yet."
Alan McCullough, who was a close ally of Johnny Adair, has been missing for a week and is believed to have been murdered by former associates in the UDA.
The police officer in charge of the investigation has branded those withholding information about the Shankill loyalist's disappearance as "inhuman".
"It's inhuman of certain sections of the community who have more information they are not telling us," Chief Inspector William Kerr said.
"It's inhuman of them not to tell us anything that might help us find Alan or Alan's body."
Yesterday forensic experts continued their examination of a boat removed from Carrickfergus harbour and police put up posters in north and west Belfast appealing for any information that may shed new light on the case.
Mr Gibson said the Loyalist Comm-ission had made representations to the UDA over the disappearance of Mr McCullough.
"There have been approaches made to people to see what has happened to Mr McCullough and as yet there has been no response," he said.
"We don't want to get drawn into a debate on the role of the commission on the back of a family's grief and add to that grief and hurt.
"The families have been assured that we are and are continuing to do what we can. You cannot do that outside a process."
Defending the clergy's role on the commission, he added: "If Chris McGimpsey wants to talk to the commission about any issue he is more than welcome to come and see us.
"It (resignation from the commission) would only hinder the work of stopping further incidents like this including the murders of anyone, loyalist, Protestant or Roman Catholic."
Meanwhile, Mr McCullough's brother Kenneth branded those behind the suspected murder "cowards".