Once again for all to hear - the Tower did not "own" the airspace on that day or any day.
The FAA controllers I have spoken to say their Class C would not be able to be operated efficiently if the tower did not own the airspace to the zone boundary at 5 miles.
Why shoud it be any different here?
The US has both target resolution and tower airspace - we have neither.
Why are we so different?
Because change is resisted and in some places tower controllers are looked down upon by radar controllers and that can result in the tower controllers not being given the extra airspace and responsibility that could facilitate efficient operations.