You are talking about the Lebanese? I didn't know anything changed about this but i am not updated.
...and their "derivatives."
Why should anyone bank locally in Paraguay?
For example...
How do you pay ANDE?
I guess you can pay
CASH in person, but what if the "cashier" pockets the money?
What happens when you travel? How do you pay when you can't go personally?
Is the residence unofficially blacklisted too or only the local banks?
Depends! If you are an American or European, a compliance officer in Miami, NYC, or LA would have a real issue with you having residency in PY. I'm NOT defending them, but that is how they have been programmed to think.
If you are from PY, live there, have a local business, and have +$25K in Schwab, then "no." Just mentioning you need to keep Schwab because "Latin America" is corrupt will confirm the "confirmation bias" of the compliance officer.
Off the grid of who? The state itself in Paraguay is really weak.
Weak? Who told you this?
When I say off the grid, I mean without calling attention to yourself. If you start a local business, let it be a "white-listed" business that does NOT compete with the businesses of other politically connected and privileged locals. You'll know who if you are familiar with Paraguay.
For example, Paraguay will extradite ANY foreigner requested by ANY Western country or its vassal states. Keep this in mind. Any! They will NOT even look at the charges. Of course, if you do have a LOT of money, many well-connected lawyers from the "group" will defend you until you run out of money, and you WILL run out of money. Then they'll extradite you!
Other than this, it's a wonderful country, and you can live like a King! If you don't FA, you won't FO. (FAFO)