Is there any difference? As far as I am concerned, "Since he was born, he has suffered from the disease" means he has still suffered from the disease. So now he is suffering from the disease.
"Since he was born, he suffered from the disease" means I don't know he has still suffered from the disease. Probably, he died from the disease in the past. (If I tell his grown-up daughter about her father's death, is it possible for me to say that?)