>So theoretically only (given) names that are on that list can occur.

Unless of course immigration is allowed and doesn't involve changing a name.

Not the OP, but immigration often involves changing your name in the way digital systems store and display it. For example, from محمد to Muhammad or from 陳 to Chen. The pronunciation ideally should stay the same, but obviously there's often slight differences. But if the differences are annoying or confusing, someone might choose an entirely different name as well.