The difference is that psychic powers is mental visualization and seeing past present and future or other things, while psionic power is like telekinesis and doing things with your mind
Psionic Magic is being able to combine the use of Psionics and Magic, while Psychic Magic is utilising psionics of a magical origin. The naming isn't great though.
I think it would be more accurate to call this page Psycho-Magical Mixture. I decided to make it archetypal, but your suggestion is more correct. @AzQth