The independence of a country is always a good thing but only if they are able to use that independence and conserve it. Yes, independence from dictatorship could potentially create a better educational system if they are able to work together and keep out any special interests that will want to step into the potential power vacuum.
No, I don't think becoming an independent country would help the Roma to create a better educational system. They just seem to have it in their blood to wander around, and education is just not a priority. They don't want to settle down, get a career, and build anything close to what we consider "normal" life. They are happy as they are.