Nice comparisons, Quourteous. Frankenstein it is.
Moon cactus are Gymnocalycium mihanovichii that have a naturally occuring genetic defect (in this case, a lack of Chlorophyll). The first one was found in Japan in the early 1940's and grafted to another cactus to keep it alive. Some enterprising person took advantage of that defect and started hybridizing for the defect. The plants are produced by harvesting the offsets off the "mother" stock (which is also grafted to a Hylo). The Hylo grafting recipient is produced from rooted cuttings.
Tarev is right; don't bury the Hylo any deeper than it is. If it continues to fail, even after having its big yellow parasite removed, you may have to cut the Hylo from its roots and reroot the stem you have. They root very easily.
Daisy