Kids get fed mountains of acetaminophen every year. Why do you suppose that acetaminophen packages have prominent warnings about not exceeding dosages?
It's because acetaminophen is extremely hepatotoxic at levels not very far above the recommended dosages.
> Hepatic injury and subsequent hepatic failure due to both intentional and non-intentional overdose of acetaminophen (APAP) has affected patients for decades, and [...] remains a global issue; in the United States, in particular, it accounts for more than 50% of overdose-related acute liver failure and approximately 20% of the liver transplant cases.
I would assert that acetaminophen is far more likely to be dangerous to far more children than puberty blockers and yet I don't see any moral panic over children's Tylenol.
The issue here is manipulation of children. If children were fed tons of harmful pain blockers, there would be a "panic", too.