Dolphin was on Facebook on Thursday saying they had people denied entry to the BVI. From personal experience, Dolphin has a habit of the left hand not knowing what the right hand is doing.
I finally gave up on that FB thread when they wouldn't answer my question about whether they deny boarding to people who used the eMed test kits.
It's pretty clear from a practical point of view that the tests are accepted and probably over 100 people/day have been arriving with them since December.
