I think that's short for "toxic ick". On permies.com we tend to favor things that use natural stuff. So styrofoam, and the process that mines and produces it, is not held in the highest regard. Now if you were taking used styrofoam cups and getting another use out of them before they enter the waste stream, that would be awesome.
Welcome to Permies by the way. I haven't tried air pruning yet myself. I can't even get hardwood propagation working

Here's a video by Edible Acres on how he builds air pruning beds. It doens't have guides for the roots either so maybe there is hope yet...