Hi
I am currently preparing a review of symbioses in decapod crustaceans
first of all the terms SYMBIOSIS and SYMBIOTIC are often used incorrectly for what should be called MUTUALISM and MUTUALISTIC
SYMBIOSIS means etymologically "live together" without any assumption on the nature of the association, and includes MUTUALISM (advantages to both partners or symbionts), COMMENSALISM (advantage to one symbiont, no harm to the other) and PARASITISM (advantage to one symbiont, damage to the other)
there are intermediate and transitory states between these 3, it's actually more like a spectrum from the parasitic end to the mutualistic, with frequent shifts from one to another state: normally the presence of a symbiont is advantageous to the host, but in some situations (due to environmental changes, overpopulation of symbionts etc.) the symbiont can act like a parasite (e.g., feeding on the tissue etc.), and the association quickly becomes disadvantageous to the host, in other situations (inferstation by other parasites or microbes) the symbiont acts like a mutualist as it helps to maintain the host in good health - again, in its own interest ! nothing is free in this world ...
regarding Zebrida and eumedonid crabs there are several ecological/biological studies, I give only those dealing with Zebrida:
Daniel, A. & S. Krishnan. 1979. A parthenopid crab, Zebrida adamsii White, 1847 inhabiting interspaces of spines of the sea urchin, Salmacis virgulata L. Agassiz, 1846. Bulletin of Zoological Survey of India, 1998, 1(2): 171-175.
Doki, R. 1972. Zebrida adamsii attached to a sea urchin, Asthenosoma ijimai. Nakiseibutu, 14: 25.
Mori, A., Y. Yanagisawa, Y. Fukuda & P.K.L. Ng. 1991. The complete larval development of Zebrida adamsii White, 1847 (Crustacea, Decapoda, Brachyura), reared in the laboratory. Journal of Crustacean Biology, 11(2): 292-304.
Suzuki, K. & M. Takeda. 1974. On a parthenopid crab, Zebrida adamsii on the sea urchins from Suruga Bay, with a special reference to their parasitic relations. Bulletin of National Science Museum, Tokyo, 17(4): 287-296, pl. 1.
Utinomi, H. 1969. On the occurrence of a rare crab Zebrida adamsi White (Brachyura: Parthenopidae) in the sea of southern Kii region. Nankiseibutsu, 11: 37-40. (in Japanese).
Suzuki & Takeda treat the crabs as parasites, and your observations seem to confirm it: crabs (usually a pair) obviously feed on epithelial tissues of urchins. Crabs possibly use urchin's pigments and toxines for protection. I think normally crabs' impact on the host is very slight, but sometimes, as here, it appaears to be rather significant, although I don't really know how fast the urchin is able to regenerate the lost tissues, maybe it's not so bad as it looks
there is a small possibility that the grazed area was not caused by crabs, but I don't think so
and yes, Periclimenes colemani is also a parasite as it clears a particular area of the urchin from pedicellaria and smaller spines, creating a sort of "living room"
on the other side, the crinoid crab Harrovia albolineata from the same family (Eumedonidae) has not been confirmed as a parasite and is probably a simple commensal, using the feather star as both permanent shelter and feeding place, but not consuming host's tissues - but then again one can argue that the crab steals food from the crinoid (in form of organic particles trapped by the crinoid arms) and is a kind of "kleptoparasite" ... whatever !
hope this helps
cheers
Art