After Cruz dropped out, she joined the Trump campaign on July 1 and became campaign manager the following month.
Given that Trump was not Conway's first pick - and given the nastiness he displayed towards the candidate who was her first pick (not to mention the candidate's wife) - it is not surprising that Conway would gripe about Trump when the cameras were off.
It is also possible that her feelings have changed since then, that Trump was an acquired taste.
Still, Scarborough and Brzezinski's account adds to existing evidence that the people who speak for Trump don't always believe what they are asked to say on his behalf.
In March, I chronicled the way that Vice-President Mike Pence, White House press secretary Sean Spicer and deputy press secretary Sarah Huckabee Sanders seem to distance themselves from certain claims but volunteer their agreement with others.
In briefings, for example, Spicer has offered his own supportive thoughts on a Republican healthcare bill, Trump's nomination of Neil Gorsuch to the Supreme Court and the President's hard line on illegal immigration. However, he held at arm's length Trump's charge that President Barack Obama tapped the phones in Trump Tower.
"My job is to represent the President and to talk about what he's doing and what he wants," Spicer said at a March 7 briefing. "I'm not here to speak for myself. I'm here to speak for the President of the United States and our government."
Trump puts a premium on loyalty and on appearances. The Morning Joe anecdote about Conway is a double whammy. It creates the appearance that Conway is not (or, at least, was not) completely loyal to Trump.