Flairs or Circles first?

[Nidhish S]

I was reading about how tightrope walkers carry those big sticks to help maintain their balance. Apparently one of it's functions is to prevent rotation by creating a massive moment arm! Which got me thinking, if that's true then on a pommel horse/mushroom flairs ought to be an easier initiation into swinging then circles because the straddle position makes for a mechanical advantage through a smaller moment arm. I understand that just because it's easier it doesn't mean one should start with it but wouldn't it be more straight forward to teach someone the fundamental movement this way and then gradually develop extension?

[Daniel Burnham]

Circles are generally easier than flairs when taught like gumnastic flairs.