Thanks Huskey. It looks like your advice is correct and follows https://bvi.gov.vg/travel-protocols

Testing requirements as a fully vaccinated traveller upon arrival

Fully vaccinated travellers are not required to retest upon arrival into the Territory once a RT-PCR or approved rapid antigen SARS COV-2 negative test result taken no later than 48-hours before arrival is presented. Failure to present the results for any reasons such as delays and overnight layovers will be required to undertake a SARS COV-2 test on the day of arrival into the Territory.