Alk, calcium and magnesium are the 3 basics for water chemistry - critical for SPS, LPS, snails, clams, etc. anything that builds a a calcareous skeleton or shell.
Ammonia, nitrites, nitrates and phosphates are the 4 basics for water quality - critical for everything in the reef aquarium.
I think we got on the topic when someone posted about their RBTA - which does require very good water quality but does not build a calcareous shell or skeleton and is less dependent water chemistry.
I'm running a mixed reef with LPS, SPS and 3 huge RBTA's - if I let water chemistry get out of balance (I usually battle low magnesium and low alk) I see the impact almost immediately with my LPS corals (acans are the first to pout in my tank, then GSP), SPS it takes awhile for me to notice any problems and my RBTA's don't seem to react at all.