It could be just the name of the crown or it could mean that the throne of Saldaea alternates between two branches of the royal family.

What's this about Aiel in "pajamas?"  What exactly are cadin'sor made of anyway?  I'll have to check in the books.  Also, "Miltiades," are you one of those people who thinks the Persians didn't have their cavalry at Marathon when Miltiades had his hoplites attack.  I'm guessing you are ;)

I don't think the Aiel are stupid or blind enough to be caught in the open by cavalry.  I think they are hardly ever caught by surprise.  I know being an invader dictates the terrain you fight on a lot of times, but I think you overestimate the intelligence of the wetland commanders.  I remember in one of the books someone said that only the Great Captains and the Seanchan ever really analyzed their defeats.  That doesn't say much for the rest of the wetlanders.  I doubt the average wetlander commander would be fond of a Fabian strategy, so I think it would be easy to induce one of these commanders to attack you such that you choose the terrain.  Once you decimate their armies, you can move into the open and/or besiege their cities.  Also, I don't think Aiel can adequately be compared to light infantry as, as is pointed out they have amazing mobility for infantry.