I don't see how the meaning of Antipater or Antigone effects the analysis here.
Also, Hellenistic feminine names did not seem to derive from the father, at least not as regularly, as they did in Rome.
There are certainly Hebrew nicknames in the Old Testament that imply antagonism, such as Jerubbaal, "contends with Baal". And if a princes (or princesses) designated role was one fated for antagonism, such as a prince placed in the Osiris/Elijah role, then a name with mixed meanings like Antigonus would be appropriate.
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