I don't think I quite understand it, for example I use the session a lot and it seems to me, according to the previous verification, quite private, secure and robust.

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If you're talking about the Session messahing app, then not really. https://x.com/SimpleXChat/status/1802432603150311442 Encryption security was downgraded based on incrorrect statements, transport layer uses their own onion routing network that requires node operators to invest ~$1000 in a cryptocurrency. You're better off using SimpleX over Tor.
Session is not recommended for privacy. They inexplicably got rid of forward secrecy, and the pay-per-server crypto model is fundamentally flawed. Session devs are actively abandoning ship due to the disaster that is their underlying crypto scheme. With other, far superior platforms available, there's really no good reason to continue using Session.