They come here because health care and fear of guns are not the only things that attract people. Most Cubans in Cuba have the belief that they can come here, the US govt. will provide them with a place to live, a job and training and in a short time they will be rich.
When they get here, they discover that the job is not in nice, warm Florida, but in some tiny hick town in Tennessee, dismembering chickens, and that 80% of what they earn will go to buy absolute necessities, like food, clothing and rent. No one in Cuba pays more than a pittance in rent, fancy clothes are not a major issue, and the basic food is cheap.
The job is boring, tedious and dangerous and not at all like the make work jobs back in Cuba. Learning English is very difficult for some people, and the Cubans have little in common with the places they are sent for those jobs. If they are Black, the Florida Cuban community is extremely racist, and would far rather hire illegal Hondurans and other Latins to Black Cubans, who do not take crap from any racist. No country in Latin America had more racists than Cuba, and nearly all of them came to the US. The EEOC will not prosecute or chastise White Cubans who refuse to hire Black Cubans.
Paul Harvey is an old simplistic rightwing fart, He knows nothing of Cuba or Cubans.
And no, there is no touché. Not even a bit.