> Free speech is always in conflict with other rights
Within the liberal framework, most strongly embodied by the US, rights are fundamentally meant to be negative rights. In other words, they are better conceived of as limitations placed on the state. Freedom of speech means the state cannot dictate what you can or cannot say. The right to privacy means the state is limited in its capacity to rummage through your mail, enter your house, etc.
Europeans tend to view what Americans view as privileges as rights. Positive rights.
> Free speech is always in conflict with other rights. You don't get to say whatever you want on a forum someone provided and deemed to be child friendly for example. Or rant about atheism and corruption of the clergy on a bible studies forum.
That isn't what freedom of speech is as it's conceived in the liberal framework. In the US, there is no law preventing any of those platforms from regulating speech within their own domains. The right simply ensures that the state is itself incapable of regulating speech.
> Going to a nude spa necessitates giving up some right to privacy. You expect the minimum necessary to provide the service you want.
You could argue that no spa necessitates nudity whatsoever. It isn't simple to define the boundaries of what is minimally necessary in order to provide a service. Imagine that you're watching a streaming service which plays ads. If the streaming service collects some information related to your demographic, watching habits, etc, and is able to serve you targeted ads that pay 5x more than if they were anonymous/general ads, many consumers would happy accept that if it meant that they had to watch only half as many ads.
You act as if there is just a relatively straightforward right to privacy, but what's really happening is that the state would be putting (somewhat arbitrary) limitations on the boundaries of what two parties are allowed to consent to (in this case, between the viewer and the streaming company).
American morality tends to favor limitations on the state rather than limitations on the way two consenting parties may engage with one another.