The islands are free from The US administration for decades, for sure they won't have any problem to get another relationship with another foreign bank, and still in USD, so the argument is invalid.
I'm afraid it doesn't work like that
It is not like one bank refusing to work with you and you simply go to another. And whether the islands are free from the US administration is also irrelevant here. If the said administration decides to crack down on the isles, there'll be no choice to switch to another bank since they will be switched off from the dollar payment system entirely. That basically means that the only way they can use dollars is via cash only, with their funds frozen in American banks. If you need a real life example, see what happened to Iran. It had billions of dollars frozen when the US cracked down on them. All cashless dollar transactions are going through American banks and they will do whatever Washington tells them