Not OP, but "near collision" implies the very close passing of two objects. These two planes did not come close. Instead, action was taken to avert an almost sure collision.
> "near collision" implies the very close passing of two objects
Near collision is not about inches of distance. It is how close we got to an accident happening. If the timing were a little bit different, or someone noticed things a little bit late, or the weather were a bit foggier, or the runway a bit slipperier we could have two burning wrecks and everyone on-board dead.
“Near collision” is exactly right here. So many things went wrong here, and the fact that everything turned out fine were up to chance. That is we come near to a collision happening.
Distance is relative; for an aircraft about to take off, moving at 50m/s means that 1000ft is a short distance - obviously for a human walking it feels much further.
See e.g. stopping distances for car drivers at different speeds.