I think what Soul Doubt was getting at is how we position Gypsies as entirely separate through our normative discourses. The way we talk about gypsies and the exact wordings we use (which are usually very subtle - most people would never notice) position gypsies and everything they do as being something that's not a part of our collective society. In essence, we are 'othering' them, relegating them to something that's not related to us. That is a construct. It happens all the time to almost everything we discuss in everyday life.And so, far from their position being a social construct, it is in fact a cultural deconstruct in that they choose not to become educated .. they deconstructed the opportunity, and society did NOT provide a construct to help create their behaviour profiles.
I'm not really sure what the latter part of this paragraph means, sorry.
But, of course, that's only half of the story. The gypsy culture does exactly the same, and they're in no rush to be considered a part of our collective society. They have their own culture and subcultures, and don't want to be a part of anything but themselves, as you rightly pointed out. It's not the way that we position gypsies in society, but more the way they position themselves that results in this construct/othering process.