Signal uses the same E2E encryption as WhatsApp and is also not Open-Source. One could argue that not being owned by Meta makes it inherently more private, to which I would somewhat agree.
The most private Messaging-App would be some kind of federated Chat, like Jabber or Matrix, that you or a collection of family/friends can self-host.
Unfortunately, nobody uses those ¯\(ツ)/¯
You have to install them manually, but it’s pretty easy thanks to yast and zypper.
I found it way easier compared to arch or even manjaro.