There's definitely some hairless spots in the red zone which could have been grafted. The explanation of the doctor is not a contradiction - there's a limited amount of time and grafts in every session, and he decided that other areas were more imoprtant (that's both of his reasons).
You're probably going to want additional surgery anyway... almost nobody is satisfied after one surgery, most guys need to keep going until they run out of donor hair or money, whichever comes first. So it's possible to address this area during the next surgery.