I don't know anything about lunar feritlity, but I think that ofetn when a doctor changes your dates even though you're sure of your ovulation date it has more to do with the length of your cycle and the saize of the baby at your 12 week u/s. More often than not it's only a few days they change dates by and it's really all a bit of guesswork I think.

Anyway - good luck with your theory, I hope you get some responses you can look into.