Greek 'anameixi' loosely means a mixture or a blending. The special states could be called 'anameixic', the property could be called 'anameixicity'.
Why am I trying to find a name for this? Otoh, why are so many physicists trying so hard to popularize their projects for the last 40 or 50 years? Oh .. I think I just answered my own question.
Are you suggesting "anameixi" to replace "magic"?
But magic is related to non-Cliffordness, not mixing.
Also, the term "magic" is pretty well used in quantum computing, it really doesn't need to be popularized. The concept is quite important already and would be talked about regardless of its name.