People count NC 2-Step differently because there is some discrepancy as to the tempo and meter. Play a passage of music, and some people hear 4 counts of music at 45 bpm while other people may hear 8 counts at 90 bpm. It's hard to say who's right because the music can theoretically be written either way, and it would still yield the same result. You can only know which is the correct version by looking at the written sheet music, and even that might vary from song to song. But quite frankly it doesn't matter anyway. To a dancer, six of one equals half a dozen of the other, so whichever method you choose will work. The only thing that matters is that you pick one method and stick to it consistently.
Therefore, nightclub 2-step can be counted QQS or 1&2. The beat values of the former would amount to 1, 1, 2, and the latter 1/2, 1/2, whole. Take your pick.
As for Swing & Jive, I disagree about the 3/4, 1/4 whole subdivision. Most swing music divides its beats into 3 parts, not into 4, so you end up with 2/3, 1/3, whole. Of course, that's still counted 1 "a" 2, because when you divide the quarter note into thirds, the typical protocol for the three sub-beats is "one-and-a-two-and-a" etc.
For the minority of swing music that is indeed played straight, an argument can be made of 3/4, 1/4 whole timing (although an argument can also be made against it). But I don't see the point of that, because after all, it is the minority. When we speak of something as being the basic rhythm of a dance, should we not be speaking about that which encompasses the majority of situations?
Regards,
Jonathan Atkinson
www.ballroomdancers.com