it can depend on the amount you are exchanging, and what kind of a relationship you have with the cueva. We had a neighborhood cueva for over ten years, and they didnt even look- just ran em all thru the machine- but we were not doing one at a time, and after ten years, they kind of recognized us. But then, the woman who went straight to Kentucky from the Cueva was robbed at gunpoint, and they ended up closing.
The rules above certainly apply to one-offs on Florida, but if you live here for a while, and find a good cueva, generally they will ignore the old bills.