The standard sci-fi type of psionics is not magical in any way, so things like Detect Magic, Dispel Magic, Anti-Magic Field, etc, would not work on it. And while shoving that type of system into a fantasy, magic-based setting/game is what some people seem to want, it just does not mesh well with the other rules, especially in a system that is trying to keep things fairly simple, like 5th Ed. Back while I was still interested in Pathfinder and reading the Paizo forums, I remember when they announced they were going to add psionics to the game and call it Mind Magic. Pathfinder is much more complex, but they still had to make it magical in some way. That caused some head shaking and facepalming. It was shortly after that, that I stopped following Pathfinder, so I do not even know if they went through with that name.
If they want to get some of this into 5th Ed, and try to make it magical, so all the rules apply to it, they really need to play up the psychic, paranormal, supernatural side of these kinds of powers, which would link at least some of it to the Sorcerer, but also to the Warlock. I think a psychic subclass for the Warlock could be very interesting.