IMHO to do choreography to music which is not ordinary ballroom music, you need to:
1) use the actual music, not some cheesy rearrangement
2) do a real show dance, where you can shift dance steps at will to fit the music
If you try to shoehorn a single dance style into a song, when the song's own rhythm isn't right for it, you get "wallpaper music" instead.
But when non-ballroom music is used properly, the results can be brilliant.
As Tony says, the music tells you where you need to go. You MUST go where the music takes you for this to work. You can't be locked into just one dance.
The only way we could see a show dance like this on DwtS is in the freestyle round, and even then we'll have Wheeler and the awful arrangements mucking things up.
I will say this for the singers. I don't know if they are actually bad, or it's that Wheeler doesn't know how to place his arrangements in the best part of their ranges. I suspect some of both, but since my vocal training was in junior high school, WTF do I know about it? (Apart from what we all know, that is: the music on the show is horrible.)
And if you want to do covers which are wildly different from the original, you need better musicians, like The Cranberries (love their cover of "Iron Man" as a torch song) or Brave Combo ("People are Strange" as a polka).
In any case, you can't have both. You can't do the shoehorn-a-dance-into-the-song crap AND the ridiculous cover with the Harold Wheeler arrangement at the same time.
It. Just. Doesn't. Work.