The issue with Batista was that he was a corrupt, iron-fisted dictator, who completely whored himself out to US business interests and who left a huge part of his population in complete misery.
The following are American sources:
The U.S. subsequently suspended the shipment of combat arms to the Cuban government in March 1958, with the Acting Secretary of State Christian A. Herter asserting that "in our best judgement, we could not continue to supply weapons to a government which was resorting to such repressive measures of internal security as to have alienated some 80 percent of the Cuban people."[63]
“I loved Havana and was horrified by the way this lovely city had unfortunately been transformed into a huge casino and brothel for American businessmen […]. My fellow countrymen walked the streets, picked up fourteen-year-old Cuban girls and threw coins just for the pleasure of watching men roll around in the sewers and picking them up. One wondered how Cubans – seeing this reality – could regard the United States in any other way than with hatred.”
— Arthur Meier Schlesinger, personal advisor to President Kennedy[64]
en.wikipedia.org
If around 80% of the population hates you, you're a gigantic piece of shit, way beyond whether you're "market-friendly" or not. This is why the revolution was successful- it had the support of the vast majority of the people.
There's hundreds of countries that open their economies without resorting to the humiliation that Batista did. And as it's now clear, Fidel wasn't an orthodox Marxist who insisted on private property being abolished and for the state to control everything. He was driven in that direction by the American threat, which led to them allying with the USSR.