As for me, even if they would have internet access or contact outside their country, it will still take time for them to access cryptocurrency. They will be needing time to study about its purpose and the function of it. It will still take a long process of learning. I wonder if they would have an interest in crypto market if their technology hasn't been well developed.
Cuba is a very interesting country and right now people have already access to the internet (started last December 2018) which can be opening doors for cryptocurrency market to slowly evolve. Right now, I think there is no official stance from the government whether they have the inclination to make cryptocurrency legal or banned (just like China). Will this mean that people will soon demand from the government to allow them to join the cryptocurrency movement? Most likely the government will not allow such a thing.
Here is an interesting read on the same topic:
https://bitcoinnews.com/internet-comes-to-cuba-will-cubans-comes-to-crypto/Cuba is a country ruled by leaders who do not believe so much on an open market and the government controlled almost all aspects of the people's lives. I think this is a situation that cryptocurrency will not grow and flourish though the potential is really there.