Were Cubans really independent after they accepted the Platt Amendment? Why or why not?

Once Cuba acknowledged the Platt Amendment and an independent government was chosen the US troops left instantaneously. A friend and supporter of the US named Estrada Palma became Cuba’s first president. Palma served from 1902 - 1906 in a period discernable by continued progress in recuperating from the war damage and an accomplished and honest administration.