Ms Callaghan said that just before they went on the show Mr Dymond had convinced her he had not cheated.
The son of Stephen Dymond, who was found dead a week after filming an episode of the ITV show, claims he took his own life after his partner ended their relationship.
A TVNZ spokesperson says it was speaking to ITV about the upsetting incident, and won't screen the episode in question, but it plans to continue broadcasting episodes that have already been approved for broadcast.
This morning, after the news of the show being axed broke, Mr Collins added: "It is the right decision but I think there is still a case for a review of the way reality shows like this look after the welfare of their guests".
The validity of lie detector tests has been up for question for a long time.
Following Thalassitis' death, ITV said that its "duty of care is a continuous and ongoing process for each (Love) Islander".
Explorer dives to deepest point in the ocean, stunned to find plastic
The dive was the first for The Five Deeps Expedition , funded by Vescovo, and is being filmed for a Discovery Channel documentary. The dive was later verified to be 10,972m and Victor became the first person to reach the deepest part of the Pacific Ocean.
Also on Tuesday, Sir Simon Wessely, who was president of the Royal College of Psychiatrists until 2017, described the show as "the theatre of cruelty".
Stay tuned for further updates on The Jeremy Kyle Show and the highly popular Love Island.
Hampshire Police said the death was not being treated as suspicious and a file was being prepared for the coroner.
The broadcaster said that it will continue to work with Kyle on other projects, but has not yet specified what those will be.
"Broadcasters and production companies have a responsibility for the mental health and wellbeing of participants and viewers of their programmes".
ITV, Britain's biggest free-to-air commercial broadcaster, had said it has extensive support system for participants before, during and after the show, and said the programme had helped many people to resolve complex personal problems.
"We are clear they must have appropriate levels of support in place".
Philip Clements and Florin Marin appeared on The Jeremy Kyle Show.
A review of the episode featuring Dymond is also being carried out.