A thousand years was just an example of something that could make your argument above work, or at least not disprove it immediately. Your argument doesn’t currently work because gender preference distributions have been changing dramatically in the last hundred years, and they’re still changing. Recent history disproves the notion that current preferences, and the current discrepancies between the sexes, might be intrinsic.

I’m ignoring your ad hominem, but FWIW it weakens your argument because it demonstrates you didn’t understand mine. It has also become clear you didn’t fully understand my question. So, yes, you could keep restating that cultural differences exist or bringing up other irrelevant things like personality tests, and yes, that will continue to fail to show that intrinsic sex differences exist.