received
I received the offer via snail mail. I spent enough to get the initial bonus and it has been in a drawer ever since. I did recently get a Citi AA card.
My wife also has a BA card. She spent to get the initial bonus and put it in a drawer. She did not get a Citi AA card recently. She did not get the triple miles offer.
Despite this, I am not convinced the Citi AA has anything to do with whether or not you get the offer.
Fwiw, I have several cards with Chase, have a long history with them, and have gotten high limits and good promos from time to time on their other cards.