I don’t see how to differentiate them. This is the same problem with many series when there is nothing to tell the two apart because the world building is not invested as much. If you want your readers to even differentiate them, you need to have solid rule how thing would interact. How the powers would react to each other and to the world.Let say that you have two people doing special performance.
One is a mage and the other is a scientist with psychic/ESP power.
The mage and the scientist want to show off - Magic vs. Psychic?
Mage can elevate things, and so does the Psychic.
Psychic can burn things without touching, and so does the Mage.
So they turn to a bystander for their opinions.
But there's one problem: What's the differences between Magic vs. Psychic Power if you cannot see a spell formation or use telepathy and both competitors' power performance look almost the same? In order words, how do you tell when both people are doing their own methods and but the result that come out is very similar?