Honestly, it seems the same. If a bar doesn’t want Jews in it and the bartender asks everyone if they’re Jewish or a bouncer at the door feels like a distinction without a difference.
There’s no additional liberty, the people who own the bar set the rules.
Denying entry to random people is different than telling someone to leave?
Imagine the difference between a bar with a bouncer at the door and a bar without, and then apply that principle at a much larger scale.
Honestly, it seems the same. If a bar doesn’t want Jews in it and the bartender asks everyone if they’re Jewish or a bouncer at the door feels like a distinction without a difference.
There’s no additional liberty, the people who own the bar set the rules.
But it makes it much harder to control who is in a space, which means in practice there are additional liberties.