Not true. It's perfectly possible you have a scenario where for example the top 10% of men date 100s of women, the bottom 50% date 3 or fewer women and women have a much more even distribution and date an average much higher than 3. These numbers are just an example but in reality I think something a bit like this situation does actually exist.
Sorry, forgot about this post. It seems you are likely right... (my brain is feeling a bit foggy on this one right now). I can see what sort of asymmetric distribution you are talking about. This must have been studied at some point -- it would be interesting to see some hard numbers.
I don't understand. What's the relationship between one person's dating strategy and another person's dating strategy? What's about gays?
Also, I don't see why, for instance, there wouldn't be something like a population where everyone only tries to date as many people as possible. Are you assuming that people wouldn't ever date the same person again?