I agree with you, but if Cuba wants better Internet access there's nothing stopping them from landing an underwater cable in Mexico. It's about the same distance.
Except Mexican government has a relationship with the US government and if US says 'don't do this' to Mexico there's not much upside to them going through with it.
Also maybe consider this? A substantial amount of news/rhetoric in the US revolves around US/Mexico border problems. Do you think Cuban expats want Cuba to be associated with Mexico in any way?