Are the British Virgin Islands safe from the F…

One of the VPN’s that i’m looking for are based in the British Virgin Islands. United Kingdom have some control over the country and they are part of the Five Eyes.

From Wiki: “The British Overseas Territories […] are under the jurisdiction and sovereignty of the United Kingdom. They are the parts of the British Empire that have not been granted independence or have voted to remain British territories. These territories do not form part of the United Kingdom. Most of the inhabited territories are internally self-governing, with the UK retaining responsibility for defence and foreign relations”.

I’m concerned about that the UK have the responsibility for foreign relations. Does that mean that British Virgin Islands share information with UK, which share the information with the US without a warranty or knowledge of the public?

I have nothing to hide, but I do not like that the US or any country have my information without my knowledge.

Found here