He also criticized tabloids for exploiting private lives for advertising, while noting he maintains good relations with some media outlets.
“Will it get better? Probably not.
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Will the truth come out one day? Absolutely,” he said.
Earlier this year, Gordon Ramsay described the feud as “upsetting” and said he and his wife Tana had welcomed Ramsay-Peaty into their family.
“It’s all self-inflicted from their side, because we’ve done nothing – none of what you’ve read: no rudeness, no ignorance – we welcomed them,” Gordon Ramsay said in February.
He mentioned efforts to treat the family well, including providing a chauffeur-driven car for the engagement party, and expressed a desire to meet with them in Nottingham to “draw a line in the sand.”
“It was Adam and Holly’s wishes for them not to attend [the wedding] and so we had to respect that,” he added.
In July, Ramsay-Peaty won a bronze medal in the 100m breaststroke at the Commonwealth Games, an emotional performance that came after a challenging period.
“I’ve got very tough skin that has been built quite aggressively over these last six months,” he told BBC Breakfast.
“I know what my values are, my morals are.
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I can look in the mirror and be at peace with myself and the person that I am,” he said.