As for “Meet the Press,” Ms. Turness said she worked with Mr. Gregory to try to make changes, but “we weren’t able to build a new vision together in the end.”

Her new vision for “Meet the Press” includes adding a regular panel of journalists who will question guests, something of a return to the venerable show’s original format. “The show needs more edge,” she said. “It needs to be consequential. I think the show had become a talking shop that raked over the cold embers of what had gone on the previous week. The one-on-one conversation belongs to a decade ago. We need more of a coffeehouse conversation.”