Doughnutman,
I'm absolutely with you on this they need rest. Here is info direct from ASMI
Baseball pitchers should compete in baseball no more than nine months in any given year, as periodization is needed to give the pitcher’s body time to rest and recover. For at least three months a year, a baseball pitcher should not play any baseball, participate in throwing drills, or participate in other stressful overhead activities (javelin throwing, football quarterback, softball, competitive swimming, etc.).
I also speak from experience and my son did have a growth plate injury that took almost 2yrs to fully recover from. A lot of physical therapy and much more. He went from spring to summer to fall to lessons and started all over again. Then the injury because of overuse. He did not pitch a lot, he played a lot. Kids also grow at different rates and some will be different than others.
I blame myself and it will not happen again. I wouldn't worry about being cut or whatever. If he can play he'll find a team. They need time off for health and just to be kids.