So an aquarist has to dig to find the type description and familiarize themselves with the terminology.
You don't need to find original descriptions and type specimens/illustrations, but you definitely have to dig further than hobbyist sources or CotW in order to get an accurate identification.
Considering research has shown the
skeletal structures can vary depending on lighting It seems the reliance on skeletal characteristics is not much better than gross apperance of a coral.
This is why topotypical specimens should be studied. And although appearance of different specimens of the species may vary depending on variables such as sunlight intensity, current, and amount of food in the water, one can tell that they are conspecific as there should be a smooth continuum between different morphotypes.
ideally some day we'll have DNA based databases to identify things.
We already have taxonomic genetic databases. Current researchers deposit their sequenced genes after studying them so other researchers can compare their samples in future studies.
While molecular reclassifications are much better than skeletal classifications, there are problems with them, too. Because most type material for coral species are skeletal specimens, it is impossible to sample any DNA from them to test phylogeny. Furthermore, for some species, their type material are ambiguous illustrations which could correspond to multiple species. These problems are coupled with the fact that researchers can misidentify sampled specimens, which can lead to incorrect phylogenetic reconstruction and taxonomic placement. Take Tubastrea aurea for example, which was temporarily reclassified to Lobophyllia due to misidentified sequenced specimens.
Seeing how difficult using World Registry of Marine Species is it seems to me Corals of the World as inaccurate as you think it might be it still would be considerably better than the multiple names aquarists give everything.
Most coral species are poorly defined and have not been delimited from their relatives, so species-level idenfication is basically impossible, which is why I wouldn't use CotW. I would use iNatualist observations instead to get a genus-level feel of stony corals.
And FWIW, the Austrailian Institute of Marine Sciences is working on updating Corals of the World.
Veron doesn't like molecular reclassifications very much, so I doubt much of the taxonomy will be changed. I also doubt many of the misidentifications will be corrected, as Cotw has been in the process of being updated since ~2022, and not many of the misidentifications (or taxonomy either, for that fact) have been corrected.