The huge 10%+ losses you’re stating is for the experimental Soviet flat nozzles, the production F119 nozzle losses aren’t anywhere that severe and in the neighborhood of 5% compared to an ideal round nozzle. And if you read interviews from even Russian sources, they agree that a fully developed flat nozzle can be made to be that efficient too. An F119 with round nozzle has thrust of about 37,000 lbs so not much higher than 35,000 lbs with the current nozzle.
While the thrust efficiency with a flat nozzle is reduced, with the F119 nozzle specifically their shape also helps reduce boat tail drag and turbulent flow compared to a round nozzle for two-engine setups.