Regarding the overall statistics; I agree, hence what I wrote about there being real discrimination against them. What I intended to claim (but perhaps could have been more clear about) is that women have these out-in-the-open advantages and even more hidden-behind-closed-doors disadvantages.

You seem to be attaching an argument to my statement that I did not intend to convey; I don't think that reverse discrimination is an issue. I think it is extremely visible, and gives you really lousy visible situations like the ones I mentioned that are obvious errors, that doesn't mean that it is a bad idea.