There are definitely tendencies - and these mainly appear through the use of the same types of instruments in a genre, some more explicit than others, e.g. Drum and bass, Funk and A capella.
Almost all modern electronic dance music uses a steady repeating kick drum and bass pattern - and as you note, this defines a good portion of the frequency characteristics of that genre.
However I believe looking at how we perceive different frequencies will give a much more fundamental explanation as to why music with broad frequency material seem to be more active in the low and high ends of the spectrum. The average human hearing is far from linear in perceived loudness at different frequencies:
As you see - the pressure required for the same perceived loudness is much higher in the low end. As this is a general tendency with human hearing, you'd expect a general tendency in popular music to reflect this.
I am not aware of anyone publishing genre specific curves - but you can easily analyze that yourself using a tool such as Har-Bal or Ozones EQ snapshot functionality. Just compile a wave of popular songs within the genre you want to analyze. You will probably see something that averages out toward the curves above as you add more samples of the genre (keeping in mind that the genre itself must use instruments prominently that covers most of the range).