One issue with your wing design is that the sphericon is a geometric
solid.

I meant for the design to use only the edges of a sphericon, connected
by a springy structure that would allow them to be scissored back and
forth. The structure could be draped in foam the way different shaped
bubble wands hold minimal surface bubbles.

perhaps some utility in mechanical
devices - wobbling bearings, maybe?

I built this machine (sphericon machine)
http://patricktimony.tvheaven.com/photo.html
on a 3D printer. When you spin the central rod it makes the handles
wobble back and forth which could be turned into pistoning. I thought
it might be useful in a conventional ornithopter but I'm sure theres a
gear out there that does this already.