It is true in some sense that the banking system is eventually consistent, because commands can be issued asynchronously. For example, you can issue a check, and expect it to be drawn in the future. However, that does not necessarily apply to the ledger itself, and given what I understand about banking technology, I'm somewhat surprised if it is truly as you describe.
If it is indeed a conjecture of yours, I urge you to make it more clear in your comments when you are speculating and when you are speaking with authority.