yes, factually incorrect by you 
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- Edit 1Before modification by Sidious at 12/07/2010 08:05:04 AM
Lanfear expressed surprise when she confronted Alivia, because she was stronger than Lanfear before she was taken by the 'Finns. I highly doubt there is such a thing as a maximum potential, not in the abstract. Not any more than there is a strongest man in the world. It is a title that can only be claimed until it is toppled by another.
Which told Cyndane immediately that Alivia must have an angreal, because she is familiar with the highest known level of female strength. RJ himself said that there are maximums for strength in the Power. We're meant to extrapolate that Rand and Lanfear are probably these people, though RJ refused to confirm it.
There's also no proof that a nation of procreated channelers have a higher average strength in the Power, and definitely no proof that it allows them to break the bounds of the highest strengths. Channeling is a genetic recessive and hides even in non-channelers, and even then there is a physical component that is essential. It therefore hides in the general population, as is obvious in the huge amounts of Ash'aman who were easily gleaned from the general population over 3000 years later.
I also tend to disagree with you about your assertions as to the social makeup of the land of Madmen. From what we do know (ie the Sea Folk chronicles outlined in the BWB), foreigners were just as likely to encounter a male channeler as female. The implications of this very fact is important, because 3000 years with unfettered tainted men should have wiped humanity off the whole continent.
Why? The mad male channelers destroy the mad female channelers. It's a balance that's been going on for thousands of years. Incidentally, there is no established civilization there. The entire area is constantly being ripped to pieces by active volcanos and storms, and they live in hovels.
The fact that it didn't is at the very least intriguing, since it is counter-intuitive. It implicates some level of social compromise. Perhaps they have formed into tribal societies. Perhaps there is a caste system, and the Sea Folk have only had contact with the lowest caste. Who knows? The important thing is, there are enough people inhabiting the place to deter the Sea Folk more or less completely. The numbers don't add up, even taking into account the apparent lack of societal development.
It implies no such thing. There is no evidence that Demandred or any army of channelers could bring this place under control. There are males who are frequenly insane, and the women seem to be barbaric enough to the point that they might as well be insane. There is no compromise - there's a balance of destruction. We are told directly that the place never recovered from the Breaking. According to your theory, the Breaking of the world implies social compromise because male and female channelers seemed to co-exist for 300 years, when in actual fact they destroyed each other on sight.
My supposition was that in order for society to continue without being extinguished entirely in a world with tainted saidin, the men would either have to be destroyed, as they are in every other society, or they would have to be controlled, however unsuccessfully. This latter case is what I believe has happened in the Land of Madmen. And the only ones who would be able to do this would be female channelers.
The BWB directly contests this theory.