"He doesn't understand our role. He wants 'Fox & Friends' coverage instead," Baquet said.
So Trump's embrace of Erdogan — who may be the leading jailer of journalists in the world — should come as no surprise. The same goes for his regard for the leadership of Russian President Vladimir Putin or Egyptian President Abdel Fattah al-Sissi, clear enemies of a free press in their countries.
The lack of criticism from the Trump administration about Turkey's human rights and journalistic abuses "sends a bad signal to the rest of the world," said Washington Post Executive Editor Martin Baron.
"What's happening in Turkey is just outrageous," Baron said. "They hardly have an independent press. There are hundreds of journalists in jail at this moment."
The news about Trump's wish to jail journalists came in a New York Times report based on conversations with former associates of the fired FBI director. It's exactly the kind of story Trump would like to stamp out, along with Monday's Washington Post piece that Trump revealed highly classified information to the Russian foreign minister and ambassador. (The two papers have been answering each others' major scoops like smitten teens volleying text messages.)
Those who think that reporters can't be jailed in America for doing their jobs may be wrong, said Geoffrey R. Stone, the University of Chicago law professor who wrote "Perilous Times: Free Speech in Wartime."
The law seems clear enough on leakers themselves; in many cases, especially during the Obama administration, they have been successfully prosecuted. (Chelsea Manning's 35-year prison sentence testified to that; the former Army intelligence analyst was released Wednesday after seven years because President Barack Obama commuted her sentence.)
And, on the other end of the spectrum, Stone said, news organizations that publish leaked information seem to be safe. The Pentagon Papers case, which torpedoed prior restraint, "remains a pretty strong precedent."
But, in between leakers and publications are the reporters themselves. There, the legal lines are far less clearly drawn.
"The law is not clearly resolved for the journalist who actively encourages the leak," Stone told me. "That's a case the court has not addressed." And that's just where Trump seems to want to go.
Baquet made the case for exactly the kind of journalism the president wants to punish.
"The biggest and most important stories of recent years" wouldn't have been done without classified leaks, he said. One example is the expansion of America's drone warfare in Yemen and Pakistan; another is the U.S. government's widespread surveillance of its own citizens.
"These are not even debatable as things the American people need to know," Baquet said.