I doubt the engineers would overlook anything like that. It's more like: Engineer: "We can't get the engine to work with the current airframe design if we use

I doubt the engineers would overlook anything like that. It's more like: Engineer: "We can't get the engine to work with the current airframe design if we use stealthy engine nozzles. It's going to require a significant re-design." Manager: "Will it work with old style round nozzles? Then use those."