I had not seen a study like this, but I have seen studies that indicate women on birth control are more likely to be drawn to the little thin metrosexual androgynous twink kind of guy as opposed to the more masculine and bigger guys.
That study, I have seen, but never this ‘beauty and the beast’ theory, which sounds very subjective.
As a large man, I am proud to say that my wife was never on birth control when we were dating and never has been since we’ve married.