The redemptions I'm planning over the next several years are heavily focused, in declining order of mile usage, on (1) Aer Lingus, (2) Alaska Airlines, and (3) American Airlines. It seems clear that two One World currencies, CX Asia Miles and BA Avios, will be the most useful. Will the available redemptions on EI, AS, and AA flights be identical regardless of whether I am trying to redeem Asia Miles or Avios? I'm not asking about whose website, phone center, or miles needed is better. Just whether the space I can access on the three partner carriers I'll actually be flying will be the same either way. The reason I'm asking is that our family credit card spending makes it a lot easier to accumulate tons of ThankYou Points but I'm concerned about the low member ratings of the Asia Miles program compared to Avios and want to be sure it isn't because of availability differences on partner flights (I don't care if it is about availability on CX flights since I won't be redeeming on flights to Asia).