Building an invisible tower near the airport sounds like a bad idea. Not because a 747 is going to run into it, those are flown by sophisticated enough computers, but what about smaller aircraft where the pilots are more likely to be flying partially by site, or if something goes wrong?
I think they should delay the display by 12 hours. So it shows daylight of the previous day, during the night and vice versa. Even if it will be annoyingly lit up. At least they won't have any issues with aircraft.
Does this work for all angles? If I am on the ground looking up, will I see the view behind the building from my point of view?