The row appeared to begin when Anthony pointed out that Craig, dressed in a wig for the spy task, looked like moors murderer Myra Hindley.
Unimpressed with the comparison, Craig insisted that he not repeat the joke but Anthony subsequently announced his findings to the group at the dinner table.
As a result, the pair spent the rest of the day apart, with Craig retreating to bed and spurning the evening meal.
"I don't enjoy being laughed at by the group," Craig told Anthony when they finally reconvened in the living area. "You don't do it to anybody else. I've had to deal with that shit before - being laughed at - and I don't like it. I'm not you - what you might think is funny, somebody else might not."
Anthony, who could still not refrain from finding the situation funny, attempted to hide his face from view.
"You're still laughing about it now," said a despairing Craig.
"I cannot help myself, looking at you in that wig," Anthony protested, before adding: "I apologise, it was below the belt."