There’s reasons not to take the timeout. The ones you mentioned certainly count. Another is it might have allowed Iowa state to foul preventing a 3 point look. However, you’re down 3 and you have 2 non 3 point shooters on the court? Wasn’t exactly a situation where you had time to get up multiple shots either so an O board plus a kick out wasn’t likely.You saw the press conference where coach said it was “stupid” to raise this time out issue because they already had two time outs in last minute? One was an injury time out. Implication was he had already called the last offensive play. So why give Iowa time to plan or change defenses. He also said Iowa was difficult to inbounds ball on. So on this matter of judgment and discretion, I would not criticize Pitino. At all. Hindsight worthless.
The TO should have been called to get the best 3 point shooting lineup possible IMO.