Yeah that's the point. Those aren't the things that make them psychopaths, they're just the ways female psychopaths differ most from males.

antagonistic, unempathetic and lacking in emotional depth

Are closer to the common root. Male psychopaths tend to present in stereotypically male ways and female psychopaths in stereotypically female ways. Because gendered behavioural differences remain strong even when you have a partially fucked up psyche.