I think allowing a child to make a decision that may impact them for the rest of their lives is a grey area to say the least.
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It’s not a child making the decision. It’s typically adults making the decision for the sake of the child, and based on the child’s needs. The child is involved but it’s not like the adults just go along with a childish whim. The decision is made with caution and care and expert consultation, and it is not made lightly.
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Deciding to go ahead with puberty is also a decision that impacts a child for the rest of their life. In cases of gender dysmorphia this can cause psychological trauma that won’t just clear up, and prolong the agony by forcing the person to live into adulthood with a body that feels deeply wrong. At this point, transitioning can be more difficult because the body may already have taken on pronounced characteristics associated with the wrong gender.