I think hairyfigment is of the belief that the Romans (and in the most coherent version of his claim you would have to say male and female) were under misconceptions about the nature of male and female minds, and believes that "a sufficiently deep way" would mean correcting all these misconceptions.

My view is that we really can't say that as things stand. We'd have to know a lot more about the Roman beliefs about the male and female minds, and compare them against what we know to be accurate about male and female minds.