Exactly this. This has been recognised by the gymnastics governing body in my state, and they have put together a campaign based on the United Nations Convention on the Rights of the Child. It takes the rights of a child to feel safe and respected and translates these to how that should look in the gym in simple, young child-friendly language.
There have been issues in the past, in Australian gymnastics, and this (along with extensive documents about child safety for the adults involved, of course) is an effort to make sure that kids know right from when they first start in the sport that gymnastics is supposed to be a safe and respectful space for them.
Some examples:
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