Rhythmic Gymnastics: Clubs and... Batons?

Why isn’t baton twirling a rhytmic gymnastic apparatus? You’d think with its popularity (at least in the U.S., don’t know about the rest of the world) it’d be a natural.

And maybe even light them on fire, like at Hawaiian luaus.

Also, why aren’t the clubs actually juggled? Is that disallowed?

Peace.