The problem is that we are not at peace on Earth's surface, and having assets in space is used for military actions here on the ground. Weapons are guided by GPS and similar systems. Satellites are used for communication and coordination of ground forces. Satellites are used for spotting enemy assets and movements.
So, Russia is trying to invade Ukraine and wants to disable those assets. They are actively doing radio jamming, now. They are developing weapons to disable satellites. So is China. So is the U.S.
At least, nobody is currently putting nuclear bombs into orbit to provide a first-strike capability (so far as we can tell). But, the U.S., Russia and China all seem to be using reusable space plane vehicles to inspect each other's satellites. I don't know about "trust" but I think I am seeing "verify" all around.
The problem is that the UN is just a platitude factory. It has no enforcement power. For example, it supposedly forbids North Korea from developing nuclear weapons and long-range ballistic missiles to deliver them - for which the UN is zero for 2.
At some point, some "rouge nation" is probably going to try to put bombs into orbit. Somebody else may or may not decide to shoot them down. I say may not because I am watching North Korea and Iran continue to violate UN resolutions, and no one has yet takes steps to stop them, which would basically be starting a war. The UN seems to just be a collection of powerless people wringing their hands about problems they cannot solve.