If psionics cannot be countered or dispelled, they are not magic. That is my view point on them.
This is where I think WotC went wrong and a lot of people just view psionics as another branch of magic (arcane, divine, "primal", and psionic?).
For example, this is from the Mind Flayer:
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Clearly, this aspect is "magical" because they treated it as such since the beginning. These spells could be countered or dispelled, so they are treating this aspect as magical.
But...
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Also from the Mind Flayer, cannot be countered or dispelled. It has no spell level equivalent. Yet, it is "magically" emitted, so Magic Resistance would still impact the Intelligence saving throw. If you take the word "magically" out of the description, it is no longer a magical effect, it becomes a "mental" effect.
So, IMO, WotC just handled it wrong from the beginning. We've had psionics since 1E and it doesn't have to be complex or difficult to use, but I don't think we'll see a non-magical psionics until 6E, unfortunately.