No, it's the other way around. It was athenian citizenship which was transmitted by birth. First you had to have at least one athenian parent. And then later athenians voted to change the law so two athenian parents would be required. And this is in part because 'metekos' were more often than not rich merchants and not underdogs at all. And the athenians were weary about them having influence just like they ostracized any citizen who had too much influence. But anyway, more or less restrictive citizenship conditions is irrelevant to the fact that electing masters is not and never will be democracy.
