How is this different from VibeTunnel which is not limited to just Claude and Codex, but brings your terminals with you on your phone using tailscale? There's also Happy, Coder/Mux, and so many others that actually started out open-source and stayed that way and I can be sure my chats are not going to a 3rd party?
And Omnara chats are stored in our DB, which is how we're able to enable our voice agent, cloud syncing, and ability to see all your chats while your machine is offline. Basically anything you see in the web and mobile clients is being proxied/persisted through our server, until you delete the chat.