Well, that's every right the government grants. A government-granted right is essentially the government saying, "we won't stop you from doing X".

Anyway, I think your definition of privacy is a little stringent.

If I am required, by law, to disclose that I am doing activity X in my home, with some kind of penalty imposed if I fail to disclose my performance of activity X, then that's not private. I have no choice whether people know what I'm doing in my home.

But we have the opposite situation. It is illegal for anybody to come into my home without my permission. Even the government and law enforcement officials. Therefore, anything I do in my home is private.

Sure, I could tell three or more people what I'm doing, but that's my choice. I control who does and does not know what's going on. It's my information to disclose or withhold as I see fit. So it's private information. If I'm really worried about it becoming less private, I can even have people sign various contracts not to disclose the information, which imposes a penalty on them if they don't maintain my privacy.

If I control the disclosure of the information, then it's private information, until I choose to make it public.