It depends on what you mean by "draw action". The more cut angle you have, the less angle change from the 90-degree rule that draw can cause. A very, very thin hit will have almost no angle change from draw, just as follow on a very thin hit will not make much difference in the path of the cue ball. But this is easy enough to try for yourself on the table.
There is no impact for the ball to reverse direction if that's what you mean. If you hit very low, the ball will slow down and pull away from the tangent line instead of trying to cross it. The closer the cue ball is to the object ball, the slower you can hit it to see the effect.
... HOWEVER, I agree that commentators scrutinizing every shot can be fatiguing. Sometimes I think they use the commentary booth to show off their knowledge, or their "greatness" too much. ...
Like the commentator who says, "He's going to come off the rail for a side pocket shot," and then, "Well, he overran the side pocket but got straight in on the corner." No, he was playing for the corner all along.
The rolling ball is always trying to go in the direction of the initial roll. Conversely, draw on a thin hit will bend the ball away from the tangent line. The effect is very pronounce when a soft stroke is used and the balls are close together.
