Matrix is really awesome and I hope it becomes the gold standard. However, if I were a Snowden, I would pick signal over matrix for the simple reason that signal doesn’t store your conversations on the server. Matrix does. Those conversations are encrypted client side with a key the server doesn’t have, but they are still stored centrally. That has advantages and disadvantages. It is much better for usability, because you can log in from any device and you see all of your conversations in one place. Unlike signal, there are no primary and linked devices, you can run matrix on desktop, laptop, phone, tablet, or straight from a web browser. When logging in from a new device, you need your username, password, and to either authenticate the session from another device, or manually put in your encryption key to decode the chats. That also means there is no need for backup or restore of anything other than your encryption key. For that reason, I am more frequently pushing people to install matrix than signal these days.

However if security is more important than usability, signal wins, if only because there is never a question of storing anything on any server. Start a chat with somebody, make the messages disappearing, and you can be pretty sure that as long as neither of your devices are captured while the chat is in progress it will never be seen by anybody.