Oh yeah there has been some scenes where they did hint at him having some sort of power. Given if he did have the same powers as Esther it would actually make sense given her milk can heal. He would have the power of a Phoenix which is supposed to be an immortal creature so he would potentially have limitless energy
His mom is likely one of the super powerful ones as well, like that girl in the arcade, hence why he is more powerful than most half-mythics, but even Nef's assistant seems to have some powers, but unlike the MC, hers are not powerful enough to work normally, where the player seems to have some latent ability that is affecting everyone around him.
From what we know, all halfers have powers, but they can't use them, and need to be unlocked, by something that Nefari hasn't invented yet. But the MC's seem to be so strong, that he has a latent ability that is working without his intent.
Odds are, once he gets unlocked, his abilities will be much stronger, and more useful, once he can control them.