so does anderson and the nogueira brothers and wandy
They have accomplished an incredible amount in MMA and have established themselves as MMA household names. If Anderson, Lil/Big Nog, and Wandy defected and become citizens of North Korea, they would still be beloved by the Brazilian crowd.
Rafeal Natal is still mearly making a name for himself. So I would assume when fighting another Brazilian, the crowd would root for the guy who doesn't leave his home country to train rather than the guy who does.