After a bout of nutritional consultations, he emerged clutching a list of forbidden foods longer than he’d imagined possible.

In some ways, the Paleo guidelines echo the rules of culinary-simplicity gurus like Alice Waters, René Redzepi and Mr. Canora: use the best raw ingredients — grass-fed meats, wild plants and fish, natural sweeteners, pristinely fresh fruits and vegetables — and do as little to them as possible. In others, like the ban on bread, whole grains, rice, butter, pasta, dried beans, fresh beans, cheese and cream, Paleo would seem to be the enemy of good food. Broth is one of the places where the two strands meet.

The broths that were already simmering on the stoves at Hearth, Mr. Canora said, helped him adjust to an entirely new way of eating, described in his new cookbook, “A Good Food Day.”

“Broth was always my comfort food,” he said. Growing up with a Tuscan mother, he recalls that there was always fresh meat and poultry broth in the house. “Instead of sipping coffee all day and wine all night,” he said, “I started walking around with cups of broth, and that’s where the idea for Brodo came from.”

But most “broth-ers” are not chefs who happen to have homemade stocks sitting around. They are conscious eaters who have stumbled onto what generations of cooks in other cuisines have long known: Broth made with plenty of bones contributes to well-being in ways that other foods don’t.

“It’s been known through history and across cultures that broth settles your stomach and also your nerves,” said Sally Fallon Morell, an author of the new book “Nourishing Broth.” “When a recipe has that much tradition behind it, I believe the science is there too.”

Image Marco Canora outside Brodo. Credit... Evan Sung for The New York Times

Ms. Fallon, whose first book, “Nourishing Traditions,” has sold more than half a million copies, is a farmer in Maryland and a leader of the Weston A. Price Foundation, a group dedicated to promoting the benefits of preindustrial food and cooking. Dr. Price was an early-20th-century dentist who became preoccupied by the effects of traditional diets and postindustrial diets on dental health, and later on health in general. With the advent of low-tech diets like raw food, whole food and Paleo, the foundation has become increasingly visible, providing a central resource on topics like raw milk, biodynamic agriculture and the health benefits of animal fats. (On the website, a photo of a glowingly healthy family at the beach is captioned, “They are happy because they eat butter!”)