The Ratings Game: Domino’s says it’s open to apps delivering its pizza. Some analysts think it will bring in the dough.

For the past several years, Domino’s Pizza Inc. executives have railed against rival U.S. food-delivery apps like DoorDash Inc. DASH, Grubhub and Uber Eats. The apps were losing money, and their aggressive free-delivery and discount offers to customers were unsustainable, they said. They argued that the pizza chain’s own delivery model — which unlike the apps had its drivers hauling pizzas to customers and returning to a single store — was more centralized, more predictable and thus economically superior.

But at a conference…