Remember too that it is part of our responsibility as officials to ensure that there are the correct number of players. The reason the T is in the book in this case is in the event a player wasn't beckoned onto the court and came on anyway.
I was always taught that it is the responsibility of the officials to ensure no team has an advantage or disadvantage (within the rules) of more than 5 players or less than 5 players.
I think you handled it correctly and the coach is going to have to live with the decision.
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