The Times piece, by Katie Rogers, begins carefully:
Hillary Clinton, a candidate who has gone to great lengths to showcase the playful side of her personality, apparently wanted to prove that she can take not only a joke but a full interview of nonstop lampooning when she appeared on the mock celebrity interview show “Between Two Ferns.”If you read far enough, you'll see that Hillary was trying to do something Obama had done, but she didn't copy his approach:
While Mr. Obama had playfully laid into Mr. Galifianakis during his 2014 interview — “What’s it like for this to be the last time you ever talk to a president?” — Mrs. Clinton appeared mostly deadpan, letting her host do most of the comedic legwork....Wait! The "scatological joke" — at 5:13 — is "It's a good cut of meat. I think it's part of the asshole." And Clinton doesn't laugh at all. She keeps a flat, glum face. How do you get "loud laugh" out of that? I'd remembered that the joke was about "the asshole," so I was curious to see Mrs. Clinton bust a gut over "asshole." Why did the NYT get that wrong — in an article that highlights that Clinton was "deadpan"? She was just as "deadpan" over "asshole" as she was about everything else.
At one point, she was actually asked a policy question. But while she was explaining her hopes for improving the economy, she was interrupted by a Trump ad. Mrs. Clinton played along: “Why would you play a commercial from my opponent in the middle of our interview?”
“He paid me in steaks,” he replied, adding a scatological joke. (This is the one that got a loud laugh out of Mrs. Clinton.)