Ska generally means 3rd wave, and Ive no idea how those first two waves really releate to 3rd wave, but yea punk and reggae are like very different siblings of the same family.
But yea black and white checkered vans, skanking, all that stuff. Its just punk rock with a horn section. And yea, some is more pop/mainstream than other, but its the same with punk or any genre thats been around for more than 15 minutes.
Dont get me wrond, the joke is still accurate.