If Iris does go to Kalos with Ash for the sole purpose of becoming.....a better dragon trainer, then Georgia isn't so unlikely. Especially since Georgia has every reason to go to the Kalos region.
Fairy type, a type that would help her BUST dragon types, and right now, ignoring the past generation Pokemon being reclassified as fairy type, Kalos is the only region at this moment that's introducing fairy type Pokemon.
Maybe Georgia was off in her own mind thinking of only ice and steel type Pokemon, but heard of a new type (or for retcon purposes, a type she's never heard of before) found in the Kalos region that's super effective against dragon types.
If however Iris is not part of the main cast, then it's clear why, even if Georgia were to go to the Kalos region, she wouldn't run into Ash.