Neza's combat ability wasn't a fluke, with the killing intent he showed flexed, Jon was sure he could beat Rein ten times over handicapped.
Neza had a goal, he knew how much he needed to be so good at the one thing his brother lacks, he wonders if he will ever be able to catch up to his reputation, he angers because his brother is weak, too weak to lead the Forgan empire. The crowning of a prince isn't determined by the emperor alone in the empire, even though the prince may have the emperor's support, it's still up to the nobles to decide especially the Dukes of the empire. So every prince has a little hope of having the throne so far they could prove their worthiness, Neza was the only prince aspiring to be Emperor, and his mother was the strong backing he had, his mother's words resonated every second in his ear, 'Go out there, be strong enough to defeat even your father and no one would be able to oppose you'