Mr Cook, from near Northwich in Cheshire, told the coverage of Mr Slater’s case brought back “painful and emotional memories”.
However, he said: “At least we have a conclusion to Steve’s story. He’s back, he’s buried with my dad now and it’s a bit of peace.
“At least we know we have got him home.
“It could have been different and I dread to think what they’re going through having been through it ourselves.”
Steven Cook was last seen asking for directions after becoming separated from his friends during a bar crawl on the first night of his holiday.
Like Mr Slater, he was also on his first trip abroad without his parents.
His remains were found in a well by Greek workmen in February 2017 alongside a disposable camera and a belt.
An inquest reached an open conclusion due to lack of evidence as to how Steven died.