Well then, your assertion that Matrix gives it freely is false.
My point is that it should never give out that data, or even store it permanently in the first place. This is just a fundamentally bad design from a privacy perspective, and other messengers don't do that.
This is false, too. Historical event visibility is controlled by a room setting. (And if you don’t trust admins of a sensitive room to configure for privacy, then you’re going to have bigger problems, no matter what platform it’s on.)
This is not false, what you mean only hides it for normal users, but it still ends up in the database of all participating homeservers and all the admins of those have full access to it. I happen to run a Matrix homeserver myself...