Daniels, whose real name is Stephanie Clifford, earlier claimed a United States custody battle over her seven-year-old daughter forced her to quit Celebrity Big Brother - not an attempt to push her fee over $1million.
Instead Michael Avenatti said the producers had "insisted she conduct herself in a certain way".
Stormy Daniels Is Racking Up A Huge Sum For Her CBB Appearance.
Presenter Kaye Adams said Daniels was prevented from appearing on the show due to legal issues.
Moore added: "She says the stories about her asking for more money are rubbish".
"She says that, late last night, she was due to be on Celebrity Big Brother and there was a custody development involving her daughter in America - she is in the middle of a divorce".
Stormy also told Jane that she'd requested to appear on the CBB launch show anyway to explain dropping out, and bosses agreed before changing their minds.
"She thought "I can't commit", she said being a mother comes first".
"She said I will go on the live show when they are introducing everyone, I will explain why I'm not going into the house", Moore said.More news: Starbucks Releases High-Protein Vegan Cold Brew Smoothies!
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Asked why Ms Daniels didn't appear on Celebrity Big Brother, Mr Avenatti told the Press Association: "It was over a row with producers". "From the outset it was clear something was wrong and once she sat down with the producers all hell broke loose".
However, Stormy made a decision to pull out of the show - with Rylan concluding: 'We had her, she changed her mind and she went.
Moore added that Daniels is "very angry" about the situation, which has now reportedly become a legal dispute.
Meanwhile, Big Brother producers released their own statement on Twitter.
Daniels' daughter is seven, and going into the Celebrity Big Brother could have isolated Daniels from the outside world for several weeks.
Producers discussed a variety of options with her but were unable to agree any acceptable conditions for her entering the house.
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Channel 5 representatives and Stormy's team did not respond to requests for comment.