Citation needed. I've never heard of financial systems being eventually consistent, certain not ATMs which need to know your exact balance and how much money you've taken out already today.
You can think of the (rare nowadays, but possible) offline, paper-based card transactions (physical imprint of the card number + signature) as a very strong example of eventual consistency - your card will be billed for that amount sometime later when the documents are processed and all the balances will be correct, but for many days the "online visible" card balance as known to the bank will be different from the "real" legal/accounting balance of that card.