Mr. Miller, in his defense of the president, called him a "political genius" who could rattle off complete paragraphs on the fly in response to news events and then deliver them "flawlessly" to a campaign audience.
"There's one viewer you care about right now, and you're being obsequious, you're being a factotum in order to please him", Tapper said, concluding the interview as Miller struggled to get a word in. The book also quotes Bannon as describing Ivanka Trump, the president's daughter, as "dumb as a brick". "The betrayal of the president in this book is so contrary to the reality of those who work with him", Miller continued.
Stephen Miller attends a meeting between US President Donald Trump and small business leaders in the Roosevelt Room at the White House in Washington, DC, on January 30, 2017.
"(Bannon's) role has been greatly exaggerated, whereas the President hasn't gotten the due that he deserves for the movement that he put together to tap into the kinds of people whose life concerns don't get a lot of attention on CNN", Miller said.
Tapper responded to Trump's tweet by linking to a clip of his interview with Miller.
Miller, during his CNN appearance, praised Trump as "a self-made billionaire who revolutionized reality TV and who has changed the course of our politics".
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Tapper grew exhausted of Miller repeating pro-Trump and anti-Bannon talking points and called the aide's constant interruptions "hysterical, ' as he cut the interview short by announcing, 'I think I've wasted enough of my viewers" time'.
The very public apology was just the latest fallout from the release of "Fire and Fury", in which Wolff claims, after having had access to the West Wing during the first months of the Trump administration, that numerous president's top aides and confidants consider him paranoid, inept and even unfit to hold office.
On NBC's Meet the Press, host Chuck Todd asked Wolff if he left out anything in the book that would have been favourable to Trump because it didn't fit the narrative.
When Tapper returned from commercial break, the journalist began the second part of his show by saying, 'Welcome back to State of the Union and planet Earth'.
"Steven, I'm trying to get to the issue of the president's fitness", Tapper said.
"I would have been delighted to have written a contrarian account here: Donald Trump, this unexpected President is actually going to succeed", Mr Wolff said.