Higher teleost fishes systematics are a "work in progress" activity since several years. Then you can find many taxa in different positions across the literature, that's normal.
The classical Perciformes is still often used in the literature, but species gathered before in the group do not form a clade anymore. It has been redefined and considered now as =Serraniformes. Moreover, Capros is really different from Zeiformes.
Nevertheless, you can find recent data and references at https://sites.google.com/site/guilleorti/home/classification
Thanks for comment, I haven't examined any Antigonia and I don't know in details if caproids form a corroborated clade. But several molecular works and Datovo et al (2014) (muscles anatomy data) tend to show that this genus is more closely related to "higher" acanthomorphs, like tetraodontiforms.
Thank you very much for the information, and sorry for the delay of the response. Thou hast reason this species is far from the order of the Zeiformes.