If you purchase the space which you occupy there you may keep your secrets. But all your trading partners have a right to balk in any interaction in which they feel insecure for want of knowledge about you. If you would rather not tell them, they may demand other assurance. Carried to an extreme, it might seem that the Free Nation would offer almost no privacy. But I do not think so.
Life is a positive-sum game.
If they snoop more than necessary, or demand too much assurance, you can go to the competition. The most successful trading partners, those whose business blossoms and with whom you will most likely conduct most of your business, will be the best at balancing what they need to know with what they can ignore. In stateless society I believe a norm emerges regarding privacy. When I first heard the account of the tragedy of the commons 1 I was struck with curiosity. I sensed that it promised to explain many public wrongs.