Neither do we have assiocation with Cuba but we still send flights there.
The place looks like it would be a fantastic holiday destination.

And we don’t have any links with just about every other country on the planet, yet we still send flights there. Being so tiny (just 37 square miles) and in no way associated with the UK, it is likely that the majority of the British population would have no need to go there. But for those who do need to visit, I expect they fly to Amsterdam and Paris and then onwards to St Maarten.