From the sudden ice that surrounded the prince's opponent's body, it was clear that the prince was an Ice Essence user. His Essence Soul was probably that of ice as well.
Since conduits were hard to control to create around a person, rather than just on them, there was no doubt in anyone's mind that he did in fact have an Ice core.
As for some that were quite keen on what they were looking for, they were aware of another thing that nearly everyone else had missed because of how easy it was to miss it.
The Prince was in the High Essence Soul realm.
The Essence Soul realms were divided into 3 realms, Low Essence Soul, High Essence Soul, and True Essence Soul.
It was said that until you were in the True Essence Soul realm, you hadn't truly reached the Essence Soul realm yet.