I am not saying that the throw was not made, it WAS made, but it was delayed due to the runner being out of the RL. Why is this different than the throw hitting the runner? The runner affected the throw. This in turn affects the ability of the fielder to take the throw.
How do you know that is what caused the fielder to delay? You can say lots of things. Shall we also call the runner out for running to fast out of the lane because it causes the catcher to rush the throw and throw it wild which in turn effects the fielder at 1st? You can do this cause and effect thing for lots of situations. Maybe she didnt have a good grip on the ball. Maybe she wanted another slide step to get momentum. This is not how it is applied. You dont look at something and connect it 2 steps away.
The case book has a situation that says if a runner gets hit before the 30 foot mark then it is not RLI so you would say if she does get hit after the 30 foot mark then it would be RLI. Thats why people are talking about if the runner gets hit by the ball.