Also a neat device, but they fail the Morris-Thorne criteria needed for stable wormholes, in particular asymptotic flatness.
I wrote a paper that summarized these points, while also providing references.
In essence, it's unlikely you'll be able to make a stable wormhole anchored onto any significant body of matter, unless it significantly outmasses that body, in which case it will rip it to shreds gravitationally.
A number of technical points on likely wormholes, particularly Kuhfittig's solutions, are posted on another paper I wrote for the Orion's Arm Universe Project, which seems to be one of your sources of inspiration.