Looks like a variegated opuntia to me. I'd be afraid the strangeness, and maybe the variegation, was chemically induced rather than genetic. Is/was this for sale commercially? Years ago I had a relative that worked for Dow Chemical Co. who gave us some herbicide to try on mesquites. I don't recall it actually killed anything, but there was a lot of strange growth where we applied it. That included some of the native opuntia. Their twisted, odd shaped growth and protuberances that resulted reminds of what is seen in this photo. Eventually, after a couple of seasons, the growth returned to a normal state.
Surely not the case here if this is being offered commercially, though.
