I understand your point. But, based on what the rule says, we did not have "definite information relative to the time involved". The ball crossed half court so fast, the T's ten second count hardly ever began.
In hindsight, probably the best way to have handled it would be for the T to immediately blow the whistle upon noticing the clock never started. It would have stopped the play in the middle, but it would have avoided any "do-over" scenario beacuse the play would never have happened.
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