Stupid rule. My town still has it, I believe, though it's gone through extended periods of no enforcement. Never been a fan. My buddy and I went around and around on this for hours, but he is flat-out wrong. He could not provide a single example of anyone in our league who had been injured or sidelined by a pitch. If a player misses an inning because she got hit on the elbow, that same injury could've happened anywhere on the field.
If you can't get out of the way of a rec pitcher, you are going to have a problem getting out of the way of a line drive or hard overhand throw. The pitchers throwing really fast are generally the ones that work on it and not the ones hitting batters, there are exceptions of course.
I'll say maybe 8u in our area is an exception because they have the girls pitching from a wickedly close 28' and the good ones have the ball getting there fast.