No logical thinking coach is going, "Well, let's think about our situation if we turn it over in the next 30 seconds when we get the ball and use our TOs accordingly." Saving a TO for a change of possession contingency plan with less than 3 minutes left is bat shit crazy.
You want the extra TO so running the ball, either on a draw or later near the goal line is an option. 75 yds with a 1:50 left in a tempo offense - Time shouldn't be a factor. Burning a TO would have been dumb.
And yet how did it work out?
The problem with most coaches is that they exhibit the kind of thinking you are using here. "Well everything's going to work out just the way we want it too, so this is what we should do." The way they should be thinking is "if things DON'T go perfectly, what gives us the best chance to win?" Because things don't actually typically go perfectly.
When you are losing at the end of the game you need to do whatever you can to make the game last longer. Allowing 39 seconds to run off the clock is pretty much never the correct answer. There are ways to stop the clock on offense. There aren't on defense, except to call a time out.