Gabriel utilized the biggest advantage he possessed after his battle strength. In fact, it was less of his strength and more of the weakness of others.
Greed was something that almost every person possessed. Some had greed for achievements; some had greed for prestige; some had greed for strength and more.
Almost every person in the world had some kind of Greed, and for the Academy, their greed was their prestige. That's why it was such a big blow to the academy that they were robbed. They still hoped to gain some things by training Gabriel in hopes that he could become the next Holy Mage.
It was that greed that was holding Eliana back. It was the reason she wasn't willing to let him go through the test of the crown. He had already noticed this hesitation in Eliana's face when he was standing before her. This was also what made them keep Gabriel's identity and his talent levels a secret.