I don't think that your example suports the idea of a "bad boy" gene.
There are quite a few models to explain why a woman may be attracted to a “ bad boy “
Here is one, assume that the “bad boys” behavior is simply a result of a high level of testosterone and that high testosterone levels are indicative of superior health. The female is making a selection based on the display of his testosterone levels as an indication of “quality genes”. This avoids the assumption of a “bad boy gene” guiding male behavior.