My personal favorite is when coaches switch pitcher and catcher 
(OK being really sarcastic here - just for levity)....
People who are anti pitch count invariably bring up baseball history, but conveniently leave out that the game and hitters have changed a lot since then. Were Spahn, Sain, Marichal, Ruth, Young, Mathewson, etc. all pitching since they were 8-9 years old? Were they playing and pitching year round? Were they going into a travel league circuit to pitch games in front of college scouts who had their sundials to get their velo? Or did perhaps they actually grow into their bodies before seriously taking up pitching? (I'm too young to know - hahaha).
I get the whole pitch count argument and believe in it in general. It's a hard subject though because it is different based on development of a child as a pitcher. These are conversations you have to have regularly with your child. Before HS I think it's certainly the parents obligation to talk to whatever coach you have and determine their knowledge and acceptance of pitch counts. Also whether the coach has a love affair with the curve - yes a different rabbit hole we could jump into. Then make decisions whether you want to pay and play for that team. At HS - trust that your child will have taken all the conversations you've had and that he'll talk with the coach. If not, then there are ways to casually talk with the coach about his "pitching or pitcher" theories. Although I suspect most HS coaches come with a bit of history so you should know your answer beforehand. There are parents who decide not to have their child pitch for a specific HS and only go the showcase/travel ball option with a coach they do trust.
In the long run pitching isn't an inherently normal action for your shoulder as I think *any* parent has been told when they invariably take their child in for some sort of injury. Which all too often happens regardless of how you've protected your young pitchers with pitch counts, don't throw curves, eat your veggies, don't swim in the summer before the "big game", etc.