We need to allow for some putbacks on these kind of shots. If we miss it and don't get the board who cares if the other team get's the ball with a second or two left.
While I do not disagree with this in general, with this teams inability to grab offensive rebounds, I think the risk of leaving time on the clock for the other team to score if you hit the shot would be significantly greater than the chances of actually getting a second opportunity. This team is built on making shots, not grabbing rebounds, so I would play for the last shot and leave as little time as possible on the clock, over hoping to get a rebound.