By combining the current yields (in the order of several thousands tons by year) and the corresponding high unit values (up 80, for the 1st grade specimens, and 200 euro /kg during holydays), Aristeus antennatus (Risso, 1816), herein VP, and Aristaeomorpha foliacea (Risso, 1827), herein RP, likely represent the most valuable demersal stocks for the Mediterranean bottom trawl fisheries. These species (herein Reds) have also acctracted the interest and attention of many researchers, not only among the fisheries biologists, but also among scientists involved in genetic and climatic studies. Countless publications have been recently realized within both the official (i.e. ISI Journals) and gray (i.e. technical and internal / project reports) scientific literature. In spite of the impressive improvement in the knowledge level concerning Reds, the scientific name to be used, the lack of cryptic species (at least within the Mediterranean Sea), and the negligible (almost null) estimated gross catch fraction returned to the sea (a.k.a. discard), likely represent the only items about which scientists fully agree. Controversies range from the simple choice of the most pertinent colloquial name (Blue and red shrimp, Blue shrimp, Giant red shrimp, King shrimp, Bathyal shrimp, Deep water red shrimp, Red shrimp, Rose shrimp, Pink shrimp, Violet shrimp, Red prawns etc) to the more critical choice between few widespread geographical instead of many small scattered stock (stocklet). Actually, whichever the Reds life history trait is considered, the pertinent literature show uncertainty at least with the past (for example, e.g., the reported life span from 3-5 up 9-12 years), conflicts in the interpretations (“clear evident unidirectional”, “parabolic concave down” or “not at all” depth - size relationship), contrasting sentences (discrete vs continuous spawning, recruitment, nurseries areas), confusion about the most influent abiotic parameters (LIW i.e. Levantine Intermediate Seawater temperature and salinity, “cascade” effects or even the damming of the Nile river). No clear and universal proofs of the validity of the various proposed explanatory variables (e.g. the strong association with the bamboo coral Isidella elongata) can be currently found. The most critical item in Reds studies is represented by the “single compartment syndrome”, i.e. each (or few) biological parameter(s) is/are discussed without any critical consideration about the match-mismatch with all the other parameters available. For example, in both Reds, females are almost universally considered more robust and better growth performant than males, reaching a much larger size and living longer than males. Both sexes occur in the same (RP) or different (VP) depth interval; consequently, females should be expected to suffer a lower (RP) and higher (VP) total mortality (Z) than males in exploited stock. However, the overall current sex ratio is reported as balanced or even in favor of males in RP and females in VP, without any specific comments about the different effects of fishing mortality. In the present contribution, papers and reports published between 1885 and 2018, directly or indirectly related to Reds, were reviewed in order to attempt a synoptic comparison of the gray sides in the level of agreement about the distribution and life cycle of such as important crustaceans. The outputs of the present review were organized in 3 sections: A) Introduction, B) Material, methods (and some remarks), and C) 19 basic questions (such as “How many Reds’ poulations within the Mediterranean Sea?”). The corresponding answers were presented as Thesis, Antithesis and (most plausible) Synthesis. Finally, in the last section (D – Bibliography), the interested reader will be able to find an exstended list of references, considering not only the titles quoted in the contribution.