[nonameiguess]

You're simply misrepresenting what the actual statement with a truth value is in these cases. The fact that events happening close to each other temporally from fast-moving inertial frames can't be given a canonical temporal ordering doesn't undermine the existence of truth. A happens before B in the inertial reference frame of one observer and B happens before A in the inertial reference frame of a different observer are both true statements, and the converse of each is a false statement. The insight of special relativity is that there exists no God's eye reference frame independent of inertial reference frames. Nothing moves against some eternal static backdrop serving as a coordinate anchor. Things only move with respect to other moving things. That is in and of itself also a true statement, and the converse is false. Non-contradiction still holds everywhere. That you need further details and context to determine the truth of a statement doesn't mean it has no defined truth value.