No, they are exactly the same, but taken to their extreme, yet inherent evolution.
Putting you in jail or hanging you for "illegal speech" are just two degrees of punishment for violating the laws of the land, as it were. The degree of punishment is just a cultural thing. The only question is one: are you free, or not?
No one is forcing you to use free-speech platforms, but to criticize them you need to understand what freedom means in the first place.
This thread is not about jail, but preventing you from posting something on a specific platform. (Moderation) If you think that's exactly the same as hanging people, you need to talk to actual people outside...
On the other hand, moderation can stop troll farms posting negative things about homosexuality non-stop. And it can help stop things like doxxing and promoting criminal activity and downright evil stuff.
I don't oppose privacy tools existing, specially for edge cases like investigative journalism and oppressive regimes as you mentioned. I mostly oppose people using and promoting unmoderated or inadequately moderated services. I guess what's being discussed here is mostly infrastructure not services, but still I think the infrastructure may be able to help promote or facilitate healthy services.
I've seen the outsized harm free for all spaces (usually "for teh lulz") can do to society, when we thought it was just innocent "shitposting".
I encourage people to participate in spaces where you know there's ethical moderation (that also leaves leeway for cultural differences), avoid otherwise, and don't encourage anyone to participate there. I think HN is a pretty good example of that.