Connecticut Medicaid and the Habilitation/Rehabilitation Distinction

See this article, which begins:

When she was younger, Natalia Caraballo used some words and sign language to communicate. But around her 2nd birthday, Natalia, who has Down syndrome and autism, stopped speaking and started making less eye contact with those around her. 

Her parents hoped to continue the intensive therapy Natalia, now 4, had received through an early intervention program. 

But their insurance, HUSKY, the state's Medicaid program, denied coverage for the services, known as applied behavioral analysis, saying that the services were for "habilitation" purposes, not rehabilitation.