I understand "the system" does not see a collision (in 4 realities). What I'm saying is "the system" is broken and needs to be addressed. It's a huge problem.
You don't seem to understand. Really, you don't.
You seem to think that if there is a collision on one system, there will inevitably be a collision on the other system at a slight delay and currently only the first system takes damage. This is wrong.
The paths don't matter, all that matters is the points on the paths that are the planes and the time delay means that only rarely do collisions happen on both systems (when they do both player's planes take damage) because of this. Imagine an intersection with two alternate realities. In one Bob enters the intersection at 12:34:01 at 75 mph and Jane enters the intersection, crossing Bob's path, also at 12:34:01 at 75mph and in that reality they collide. In the other Bob was slightly slower accelerating from the last red light and enters the intersection at 12:34:03 at 75 mph and Jane still enters the intersection, crossing Bob's path, at 12:34:01 at 75mph and in this reality Jane passes just in front of Bob, no collision. The fact that the paths in both realities were the same doesn't matter at all.
Now, to add complication, the paths won't be exactly the same either...