I just got the Eon ticket earlier today, now I'm wondering if you con soar on Latias in Pokemon Omega Ruby and Latios in Alpha Sapphire.
Use the Eon Flute to call Latios or Latias (depending on your version) to your location
Pretty sure the answer is a no. But hey, they pretty much look the exact same anyway so..
Source.
Nope. The eon Pokemon you encounter in game (latios=OR, latias=AS) is the one you soar on. There is no difference between them, besides some design differences (don't know of any besides eye color). So basically in the soaring world, latias=latios. Hope I helped!